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- 1. Multiple Choice
What is the vertex form of a quadratic function?
f(x) = 2a(x-h)2 + k
f(x) = a(x-h)2 + k
f(x) = (x+h)2 + k
f(x) = a(x-h) - k
- 2. Multiple Choice
What is the axis of symmetry in a function?
The transformation of the graph
The vertex, represented by (h,k)
A vertical line that passes through the vertex and divides the parabola in half
y = h
- 3. Multiple Choice
What is the axis of symmetry in the function f(x) = (x-1)2 +2
x = 1
x = -1
x = 2
x = -2
- 4. Multiple Choice
Identify the vertex of f(x) = -2(x+1)2 + 3
(h,k)
(3, 1)
(-1,-3)
(-1,3)
- 5. Multiple Choice
Identify the minimum and the domain of the function y = -2(x+1)2 + 4
Max: 4, Domain: All Real Numbers
Min: -4, Domain: All Real Numbers
Max: 2, Domain: All real numbers when x is greater than 4
Min: -2, Domain: All real numbers when x is less than 4
- 6. Multiple Choice
Does the function y = (x+2)2 have a maximum or minimum?
Maximum
Minimum
Both
Neither
- 7. Multiple Choice
Does the function y = -1/2(x+1)2 have a maximum or minimum?
Maximum
Minimum
Both
Neither
- 8. Multiple Choice
What does the quadratic function that has a vertex of (3,4) look like?
y = a(x+3)2 + 4
y = a(x-3)2 + 4
y = -a(x+3) - 4
y = a(x-3)2 - 4
- 9. Multiple Choice
What is the range of f(x) = 2(x+3)2 + 1?
y ≥ 3
y ≥ 1
y ≤ 3
y ≤ 1
- 10. Multiple Choice
What is the range of f(x) = -9(x-4)2 + 3
y ≤ 3
y ≤ - 9
y ≥ 3
y ≥ -4
- 11. Multiple Choice
What steps transform the graph y = x2 to y = 2(x+2)2 - 5?
Compress by 2, shifted 2 units left and 5 down
Stretch by 5, shifted 5 units left and 2 down
Stretch by 2, shifted 2 units left and 5 down
Compress by 5, shifted 2 units left and 2 down
- 12. Multiple Choice
What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?
Compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up
Stretched by 1/2, shifted 4 units right and 1 unit down
- 13. Multiple Choice
Identify the vertex of f(x) = 5(x+6)2 - 7
(5,6)
(0,0)
(6,-7)
(-6,-7)
- 14. Multiple Choice
What steps transform the graph y = x2 to y = x2 + 8
shifted up 8 units
shifted down 8 units
shifted left 8 units
shifted right 8 units
- 15. Multiple Choice
What steps transform the graph y = x2 to y = (x-4)2
Shifted down 4 units
Shifted left 4 units
Shifted right 4 units
Shifted up 4 units
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