Graph each quadratic function using the steps from the picture.

Reginald Metcalf

Reginald Metcalf

Answered question

2021-12-11

Graph each quadratic function using the steps from the picture. Based on the graph determine the domain and range of the quadratic function.
G(x)=9x2+18x+7

Answer & Explanation

Natalie Yamamoto

Natalie Yamamoto

Beginner2021-12-12Added 22 answers

Step 1
The given quadratic function
y=9x2+18x+7
Since the coefficient of x2 is negative, therefore parabola opens downward
Arrange the x terms by completing the squares
Step 2
y=9(x22x79)
y=9((x1)2179)
y=9((x1)2169)
y=9(x1)2+16
y16=9(x1)2
Step 3
Vertex (1, 16)
axis of symmetry
x=1
yintercept,x=0
y=7
Step4
Discriminant
b24ac=3644×(9)×7=616
Therefore parabola has 2 intercepts on x-axis
9x2+18x+7=0
x=13,73
image

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