How do you know if the line is parallel 

0=x²-7x+7

^{y=(X-2)(X-s) for s=-4}

The graph of a quadratic function has X-intercepts at X=3 and X=-5. It passes through the point (1,-12). Determine the equation of the quadratic function 

Y=(X-2)(x-s) for s=-4

Describe how the graph sketch on the previous page would be different if 

i. s=3

ii. s=0

The graph of the function g(x) has the same shape and direction of opening as the graph of f(x) = 3(x-2)^2 +9. The graph of g(X) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). 

a. Determine an equation of the function g(x) 

b. State the domain and range of g(x) 

Domain:

Range:

c. Write another function h(x) with the same vertex and shape, but whose graph opens in the opposite direction.

Select one of the methods to determine the roots of the equation 5x^2 +2x +15=4x^2+13x-15.

Verify the roots, show all steps. 

The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)=3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x).

a. Determine an equation of the function g(x) 

b. State the domain and range of g(x) 

Domain: 

Range:

C. Write another function h(x) with the same vertex and shape, but whose graph opens in the opposite direction.

Select one of the methods to determine the roots of the equation 5x^2 + 2x + 15 = 4x^2 + 13x - 15 

verify the roots and show all steps 

^{The graph of the function g(x) has the same shape and direction of opening as the graph of f(x) = 3 (x-2)^2 + 9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x).} 

^{a. Determine an equation of the function g(x).}

^{b. State the domain and range of g(x).} 

^Domain: 

^Range:

^{c. Write another function h(x) with the same vertex and shape, but whose graph opens in the opposite direction.}