Question

The parabola y=x^2 is scaled vertically by a factor of 2/3. What is the new equation?

Answer 1

Answer:

Equation of the new parabola is $y=\frac{2}{3}x^2$

Step-by-step explanation:

The equation of the circle is $y=x^2$

Whenever we do some scaling in vertical direction then there should be change in the overall function or the y values.

If the function function f(x) is scaled vertically by a factor of k, then the translated function becomes kf(x).

Now, here the parabola y=x^2 is scaled vertically by a factor of 2/3.

Hence, k = 2/3

Therefore, equation of the new parabola is $y=\frac{2}{3}x^2$

Answer 2

Y=2/3x^2 is the new equation