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.
Factors and X-Intercepts
Quiz
•
Mathematics
•
10th Grade
•
Hard
Anthony Clark
FREE Resource
17 questions
Show all answers
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 the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).
y = -4(x - 2)(x - 4)
y = -4(x + 2)(x + 4)
y = 4(x - 2)(x - 4)
y = -0.25(x - 2)(x - 4)
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).
y = x2 + 9x - 18
y = -2(x - 9)(x - 1)
y = -2(x + 9)(x + 1)
y = 2(x + 9)(x + 1)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This is what form? y = 5(x+2)(x-1)
Standard
Vertex
Factored
None of These
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the equation of the quadratic function in intercept form (factored).
y = (x + 1)(x - 1)
y = x2 + 1
y = ( x - 1 )2
y = ( x + 1 )2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which equation represents this graph.
f(x)=(x - 4)2 - 3
f(x)=-(x - 4)2 + 3
f(x)=(x - 4)2 + 3
f(x)=-(x + 4)2 + 3
7.
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
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