Find Quadratic Equation Given Graph
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given the vertex, V(-4,-2), of a quadratic equation, find the equation if the graph passes through the point (-2,-6).
ƒ(x) = -(x+4)2-2
ƒ(x) = (x+4)2-2
ƒ(x) = -(x-4)2-2
ƒ(x) = (x-4)2+2
2.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Which equation could match the graph?
y = (x + 1)(x + 4)
y = (x - 1)(x - 4)
y = (x - 4)(x - 4)
y = (x + 2.5)(x + 4)
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
3.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Write a quadratic equation given the x intercepts and one other point.
Step 1: Write the factors.
The intercepts of this function are (6, 0) and (8, 0). Write the factors.
(x-6) and (x-8)
(x+6) and (x+8)
(x-6) and (x+8)
(x+6) and (x-8)
Tags
CCSS.HSF-IF.C.7A
4.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Which of the following equations matches standard form of a quadratic?
ax + by = c
y = a(x - h)2 + k
y = ax2 + bx + c
y = mx + b
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the solutions of the quadratic equation represented by the graph?
-2 and 3
-1/2 and -6
-2 and -6
3 and -6
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
What are the solution(s)?
x=3
x=7
x=5
x=-4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write a quadratic equation given the x intercepts and one other point.
Step 3: Write the equation in factored form.
Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.
-(x-6)(x-8)
-(x+6)(x+8)
(x-6)(x+8)
(x+6)(x-8)
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