
Quadratic Equation from Graph
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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15 questions
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1.
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)
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write a quadratic equation given the x intercepts and one other point. Step 2: Find a. Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a. y = a(x-6)(x-8) What is the value of a?
a = 1
a = -1
a = 7
a = -7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write a quadratic equation given the x intercepts and one other point.
Put the steps together.
- Find the factors.
- Solve for a by substituting in the extra point.
- Write the equation in factored form.
The roots of the function are (-3, 0) and (5, 0).
The point (4, -3) is also on the graph.
y=4(x+3)(x-5)
y=3/7(x-3)(x+5)
y=-3(x-3)(x+5)
y=3/7(x+3)(x-5)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write a quadratic equation in vertex form given the vertex and another point.
- Substitute the coordinates of the vertex (1, -4) in for h and k.
Vertex form: y=a(x-h)2+k
(x+1)2-4=y
(x-1)2-4=y
(x + 1)(x - 3)=y
x2 +2x - 3=y
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the vertex?
(0, - 1)
(0, 0.5)
(-1, 0)
(0.5, 0)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What shape is the graph of a quadratic function?
U shaped.
V shaped.
Linear.
C shaped.
Tags
CCSS.HSF-IF.C.7A
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