Transforming Parabolas

Quiz
•
Mathematics
•
9th Grade
•
Medium
+4
Standards-aligned
AJ Bills
Used 3+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
If f(x) = x2, which function is the result of shifting f(x) 3 units left and 2 units down?
g(x) = (x + 2)2 - 3
h(x) = (x - 2)2 + 3
j(x) = (x + 3)2 - 2
k(x) = (x - 3)2 + 2
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The function f(x) = |x| is multiplied by k to create the new function g(x) = k|x|. Which statement is true about the graphs of f(x) and g(x) if k = 1/2?
g(x) is a reflection of f(x) over the y-axis.
g(x) is a reflection of f(x) over the x-axis.
g(x) is wider than f(x).
g(x) is narrower than f(x).
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Caitlin graphs the function f(x) = ax2, where a is a positive integer. If Caitlin multiplies a by -2, when compared to f(x), the new graph will become
narrower and open downward
narrower and open upward
wider and open downward
wider and open upward
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
If the parent function of f(x) is p(x) = x², then the graph of the function f(x) = (x - k)² + 5, where k > 0, would be a shift of
k units to the left and a move of 5 units up
k units to the left and a move of 5 units down
k units to the right and a move of 5 units up
k units to the right and a move of 5 units down
Tags
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.5
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Josh graphed the function f(x) = -3(x - 1)² + 2. He then graphed the function g(x) = -3(x - 1)² - 5 on the same coordinate plane. The vertex of g(x) is
7 units below the vertex of f(x)
7 units above the vertex of f(x)
7 units to the right of the vertex of f(x)
7 units to the left of the vertex of f(x)
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.REI.D.10
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Given the parent function f(x) = x2, the function g(x) = (x - 1)2 - 2 is the result of a shift of f(x)
1 unit left and 2 units down
1 unit left and 2 units up
1 unit right and 2 units down
1 unit right and 2 units up
Tags
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.4
CCSS.HSG.CO.A.5
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
When the function f(x) = 2x2 is transformed into g(x) = 2(x - 3)2 + 4, the vertex of g(x) is
3 units to the right and 4 units up from the vertex of f(x)
3 units to the left and 4 units down from the vertex of f(x)
3 units to the right and 4 units down from the vertex of f(x)
3 units to the left and 4 units up from the vertex of f(x)
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
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