If you horizontally stretch the quadratic parent function f(x)=x^2 by a factor of 3. what is the equation

A factor of 3 represents a horizontal stretch of f(x) to the left.

Why left?

Positive factors move the parent function to the left on the xy-plane and negative factors move the parent function to the right on the xy-plane.

So, 3 times f(x) = 3x^2.

The needed equation is f(x) = 3x^2.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.