Question

The graphs below are both quadratic functions. The equation of the red graph is

Answer 1

Answer:

D. $g(x)=\frac{1}{5}x^2$

Step-by-step explanation:

• The equation of the red quadratic graph is $f(x)=x^2$.
• This is the parent quadratic function or the base of the quadratic functions.
• This red quadratic graph has been dilated by a certain scale factor  to obtain the blue graph. Recall that, when the scale factor is a fraction, such that $0\:$ the graph is stretched horizontally.
• The dilated graph then becomes wider than the parent function.
• From the given function equations, the possible value of k can only be $k=\frac{1}{5}$.
• Therefore the blue graph has equation: $g(x)=\frac{1}{5}x^2$
• The correct answer is D.