What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units up.
O D. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
PREVIOUS
Answers
As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.
What is the transformation of a graph?"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
Given, the graph is f(x) = x².
We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).
Again, at the time of shifting a graph up we need to add a positive number of (b).
Therefore, a = 5 and b = 12.
Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².
Again, if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.
Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.
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Step-by-step explanation:
The temperature increases from 18° F to 27° F.
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To understand more, check below explanation.
Percentage increase:The temperature increases from 18° F to 27° F.
Increase in temperature = 27 - 18 = 9
The percent increase in the temperature is computed as,
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
[tex]D[/tex] = dependent; [tex]t[/tex] = independent
Step-by-step explanation:
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Answer:
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Answer:
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General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
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Step 2: Solve
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Step-by-step explanation:
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Answer:
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Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation
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Step-by-step explanation:
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Answers
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32
Step-by-step explanation:
The numbers and letters next to each other mean multiplication. Plus, we already know the values of y and z, so all you have to do is simplify the equation. 10y turns into 10 x 5, and 6z turns intro 6 x 3. So now the equation is 50 - 18, which equals 32. Hope this helps!
Value of expression 10y -6z if y = 5 and z = 3 = 32
What is an expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given
value of y = 5
value of z = 3
expression 10y - 6z
Putting value of y and z in the expression
10(5) - 6(3)
= 50 - 18
= 32
Hence, 32 is the value of expression 10y -6z if y = 5 and z = 3.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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How much do you need to subtract from 43/10 to make 4?
Answers
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
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Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
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Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation: