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