Question 8 (1 point)
Which equation compresses the parent function vertically by a factor of 2 ?
a) $y = - 2 x^{2}$
b) $y = \frac{1}{2} x^{2}$
c) $y = 2 x^{2}$

Answer

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Answer

Final Answer: The equation that compresses the parent function vertically by a factor of 2 is $y = \frac{1}{2} x^{2}$ .

Steps

Step 1 ：The parent function in this case is $y = x^{2}$ .

Step 2 ：A vertical compression by a factor of 2 would mean that the y-values of the function are halved.

Step 3 ：This corresponds to multiplying the function by a factor of 1/2.

Step 4 ：Therefore, the equation that compresses the parent function vertically by a factor of 2 should be $y = \frac{1}{2} x^{2}$ .

Step 5 ：Final Answer: The equation that compresses the parent function vertically by a factor of 2 is $y = \frac{1}{2} x^{2}$ .