In the function y-1=1/2(x-6)^2 what effect does the number 6 have on the graph, as compared to the graph y=x^2

The graph is shifted 6 units to the right.

Step-by-step explanation:

It is important to remember that:

When , then the function is shifted "k" units to the right.

Knowing this and given the quadratic parent function and the function , you can observe that one of the transformations is the following:

Where:

Therefore, you can notice that the effect is:

The graph is shifted 6 units to the right.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!