Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1

Answer:

Answer:

  2.6 hours to download; installation time is unknown

Step-by-step explanation:

We assume there are 1024 MB in 1 GB, so the time required is ...

  time = quantity/rate

  time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s

There are 3600 seconds in 1 hour, so this is ...

  9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download

__

This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

By definition of inverse function,

[tex]F\left(F^{-1}(x)\right) = x[/tex]

so that

[tex]5F^{-1}(x) - 6 = x[/tex]

[tex]5F^{-1}(x) = x + 6[/tex]

[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]

Similarly,

[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]

Then the inverse of the composition [tex]F\circ G[/tex] is such that

[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]

By definition of composition,

[tex](F\circ G)(x) = F(G(x))[/tex]

Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]

So, we find

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]

Answer:

252.21m

Step-by-step explanation:

Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest

Answer:

20 feet

Step-by-step explanation:

s= side

P= 4s

I our case, s is 4, so 4*5 is 20.

Hence,

P=20

Hope this helps!

Answer:

bar chart..

Step-by-step explanation:

Answer:

B. f(2) = 63

Step-by-step explanation:

f (x) = -3x2 + 180x - 285

For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.

We have to replace:

f (2) = -3 * (2) ^ 2 + 180 * (2) - 285

f (2) = 63

Answer:  

the value of pa for x = 2 is:

f (2) = 63

Answer: 9. n = 2  19/20                                                                                         10. n = 2 1/12

Step-by-step explanation: 3 2/10-1/4 = n                                                           32/10−1/4                                                                                                               32/10+−1/4                                                                                                           16/5+−1/4                                                                                                                 64/20+−5/20                                                                                                         n = 59/20                                                                                                               n = 2 19/20                                                                                                             2 5/6-3/4 = n                                                                                                         17/6-3/4                                                                                                                   17/6+-3/4                                                                                                               34/12+-9/12                                                                                                             n = 25/12                                                                                                               n = 2 1/12                                                                                                                                                                                                                                  

[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]

[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]

[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]

[tex]\\ \sf\longmapsto x^2-x-2[/tex]

Answer:

n

Step-by-step explanation:

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Multiply both sides by -5:

[tex]-\frac{1}{5} (x-4)=-2[/tex]:

[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]

[tex]1(x-4)=10[/tex]

[tex]x-4=10[/tex]

Add 4 to both sides:

[tex]x-4+4=10+4[/tex]

[tex]x=14[/tex]

Answer:

y = -2x

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (0 - 4)/(0 - (-2)

Slope = -4/2

Slope = -2

Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b

y = mx + b

0 = -2(0) +b

0 = b

The equation of the line y = -2x + 0    or  y = - 2x

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

i hope my answer helps !!

Answer:

Step-by-step explanation:

Simplify the expression:

Substitute values:

Answer:

You put 10 pts by accident lol.

Answer:

66/7 or 9.429 or 9  [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

6/7=x/11

Multiply by 11 to get x alone

Multiply (6/7) by 11 to get 9.42857143=x

Answer:

this is simple addition: 916620

Step-by-step explanation:

Answer:

637000 + 280000

Step-by-Step-Explanation:

This is probably the best estimate

Answer: Is 6.4

Step-by-step explanation: I hope I helped in some way shape or form.

Answer:

-10n

Step-by-step explanation:

To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.

so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n

If it was -8n -2 you could not simplify it since the 2 is single and without the same letter

Same with -8n - 2p because it is not the same letter

The answer is $11.25 Just divide $67.50 by 6

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.  

If we are shifting 6 units to the left, h = -6.  Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

Blue boxed text is ur answer

- BRAINLIEST answerer

Answer:

9

a

3

b

2

(

3

b

−

5

a

)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Answer:

whats your equation?

Step-by-step explanation:

Ill edit my answer after.

Answer:

Step-by-step explanation: Sorry if im late

Answer:

bx + ba

Step-by-step explanation:

Product is multiplication

[Given] (x+a) * (b)

[Reorder] b(x + a)

[Dsitribute] bx + ba

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

(a - b)² = a² -2ab + b²

Here, a = x and b = 1

(x -1)² = x² - 2 * x *1 + 1²

        = x² - 2x + 1

[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]

[tex]\sf \longmapsto(x+1)(x+1)[/tex]

[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]

[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]

[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]

[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

Answer:

  158 minutes

Step-by-step explanation:

If m represents the number of minutes Rafael rode, his total bill is ...

  0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time

  0.08m = 12.64 . . . . . . . . . . subtract 6

  m = 12.64/0.08 = 158 . . . . divide by 0.08

Rafael rode the scooter for 158 minutes.

Answer:

I don't understand anything. if I was know of course I will help you