Question

What are 3 equations that will graph parabolas with a vertical stretch?

a. y = 5x^2
b. y = 0.5x^2
c. y = -1.5x^2
d. y = -1/2x^2
e. y = 8x^2

Answer 1

Three equations that will graph parabolas with a vertical stretch are y = 5x^2, y = 0.5x^2, and y = -1.5x^2.

Step-by-step explanation:

The equation for a parabola with a vertical stretch is of the form y = ax^2, where a is a non-zero constant. In the given options, three equations that will graph parabolas with a vertical stretch are:

1. y = 5x^2: This equation has a = 5, which means the parabola will be stretched vertically compared to the standard y = x^2.
2. y = 0.5x^2: This equation has a = 0.5, which means the parabola will be compressed vertically compared to the standard y = x^2.
3. y = -1.5x^2: This equation has a = -1.5, which means the parabola will be reflected and stretched vertically compared to the standard y = x^2.