Problem

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) $y=2 x^{2}$

Solution

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 \(\boxed{y=\frac{1}{2} x^{2}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/27455/

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