What is the vertex form of a quadratic function?

Graphing Quadratic Functions in Vertex Form

Interactive Video
•
Mathematics
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8th - 12th Grade
•
Hard

Lucas Foster
Used 4+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
f(x) = a(x + h)^2 + k
f(x) = a(x - h)^2 + k
f(x) = a(x - h)^2 - k
f(x) = ax^2 + bx + c
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the vertex form of a quadratic function is f(x) = a(x + 2)^2 + 3, what is the vertex?
(2, 3)
(-2, 3)
(2, -3)
(-2, -3)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the axis of symmetry for the function f(x) = a(x - 4)^2 + 5?
y = 4
x = -4
x = 4
y = -4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the coefficient 'a' be zero in the vertex form of a quadratic function?
It would make the function linear
It would make the function cubic
It would make the function constant
It would make the function undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing a quadratic function in vertex form?
Draw the axis of symmetry
Evaluate the function for two additional points
Draw a smooth curve through the points
Identify and plot the vertex
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the practice problem, what are the coordinates of the vertex for the function f(x) = 2(x - 3)^2 + 1?
(3, -1)
(3, 1)
(-3, 1)
(-3, -1)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function f(x) = 2(x - 3)^2 + 1 transformed compared to the parent function?
3 units right, 1 unit down, vertically compressed by 2
3 units left, 1 unit up, vertically compressed by 2
3 units right, 1 unit up, vertically stretched by 2
3 units left, 1 unit down, vertically stretched by 2
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