Question

2. The graph of $f(x) = x^2$ is shown below. 9 8 7 6 5 4 3 2 1 0 -1 -2 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Which of the following is true if $h(x) = 0.5x^2$? F. The graph of $f(x)$ is narrower than $h(x)$. G. The graph of $f(x)$ has a vertex below $h(x)$. H. The graph of $f(x)$ is wider than $h(x)$. J. The graph of $f(x)$ has a vertex higher than $h(x)$.

          2. The graph of $f(x) = x^2$ is shown below.

9
8
7
6
5
4
3
2
1
0
-1
-2
-5 -4 -3 -2 -1 0 1 2 3 4 5 6

Which of the following is true if $h(x) = 0.5x^2$?
F. The graph of $f(x)$ is narrower than $h(x)$.
G. The graph of $f(x)$ has a vertex below $h(x)$.
H. The graph of $f(x)$ is wider than $h(x)$.
J. The graph of $f(x)$ has a vertex higher than $h(x)$.

2. The graph of f(x) = x^2 is shown below.

9
8
7
6
5
4
3
2
1
0
-1
-2
-5 -4 -3 -2 -1 0 1 2 3 4 5 6

Which of the following is true if h(x) = 0.5x^2?
F. The graph of f(x) is narrower than h(x).
G. The graph of f(x) has a vertex below h(x).
H. The graph of f(x) is wider than h(x).
J. The graph of f(x) has a vertex higher than h(x).

Added by James P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Gaurav Kalra

Step 1

f(x) = x^2 h(x) = 0.5x^2 We can see that h(x) is a scaled version of f(x) because the coefficient in front of x^2 is 0.5, which is less than 1. This means that h(x) is narrower than f(x) because it is compressed horizontally. So, option A is incorrect because Show more…

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The graph of f(x) = x^2 is shown below. Which of the following is true if h(x) = 0.5x^2? A. The graph of f(x) is narrower than h(x). B. The graph of f(x) has a vertex below h(x). C. The graph of f(x) is wider than h(x). D. The graph of f(x) has a vertex higher than h(x).