Factored Form Quadratic Graphs

Quiz
•
Mathematics
•
9th Grade
•
Hard
+3
Standards-aligned
Anthony Clark
FREE Resource
20 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 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
2.
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
3.
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)
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.
GRAPHING QUESTION
1 min • 1 pt
Graph the following
y= (x-2)(x-4)
Tags
CCSS.HSA.CED.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
F
G
H
J
Tags
CCSS.HSF-IF.C.7A
7.
MATH RESPONSE QUESTION
1 min • 1 pt
What is a quadratic function in factored/intercept form with x-intercepts of (5,0) and (-2,0) that is normal size and opens up?
Mathematical Equivalence
ON
Tags
CCSS.HSF-IF.C.7A
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