Given h(x)=5(x-6)^2+2 what transformations were done compared to the parent function f(x)=x^2?

1. Translation 6 units to the right.

2. Stretch by a factor 5.

3. Translation 2 units up.

Step-by-step explanation:

Consider parent function

1. Translate the graph of the function 6 units to the right. Then you get the function

2. Stretch the graph of the function   by a factor 5 and get the function

3. Translate the graph of the function  2 units up to fet the function

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2