The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:

so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Answer:
8
Step-by-step explanation:
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
A, because anything with a dilation will not be congruent as the original PQR :))
<em><u>HOPE</u></em><em><u> </u></em><em><u>T</u></em><em><u>H</u></em><em><u>I</u></em><em><u>S</u></em><em><u> </u></em><em><u>WILL</u></em><em><u> </u></em><em><u>HELP</u></em><em><u> </u></em><em><u>U</u></em><em><u>!</u></em><em><u>!</u></em><em><u>!</u></em>
<em><u>If</u></em><em><u> </u></em><em><u>m</u></em><em><u>y</u></em><em><u> </u></em><em><u>ans</u></em><em><u> </u></em><em><u>was</u></em><em><u> </u></em><em><u>helpful</u></em><em><u>,</u></em><em><u> </u></em><em><u>u</u></em><em><u> </u></em><em><u>can</u></em><em><u> </u></em><em><u>start</u></em><em><u> </u></em><em><u>following</u></em><em><u> </u></em><em><u>me</u></em><em><u> </u></em><em><u>on</u></em><em><u> </u></em><em><u>brainl</u></em><em><u>y</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>#</u></em><em><u>#</u></em><em><u>#</u></em>