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Mathematics
10th -
12thgrade
Completing the Square and Vertex Form Practice
24 questions
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- 1. Multiple ChoiceWhich of the following equations shows the vertex form of a quadratic?
y = ax2 + bx + c
y = a(x - h)2 + k
- 2. Multiple ChoiceIn Vertex form, f(x) = a(x - h)2+ k, what does the h stand for?the y-coordinate of the vertexthe x-coordinate of the vertexthe x-interceptthe y-intercept
- 3. Multiple ChoiceUsing Vertex Form, f(x) = a(x - h)2+ k, how do you write the equation for the Axis of Symmetry?x = hy = kx = ay = h
- 4. Multiple Choice
In Vertex form, f(x) = a(x - h)2+ k, what does the k stand for?
the y-coordinate of the vertex
the x-coordinate of the vertex
the x-intercept
the y-intercept
- 5. Multiple Choice
Vertical compression (wider)
Vertical stretch (narrower)
Vertical compression (wider) and reflection over x-axis
Vertical stretch (narrower) and reflection over x-axis
- 6. Multiple ChoiceWhat is the vertex of the parabola: y=2(x-3)2+4(3,4)(-3,4)(3, -4)(-3,-4)
- 7. Multiple Choice
(-3, 5)
(3, 5)
(-3, -5)
(3, -5)
- 8. Multiple ChoiceIdentify the vertex and whether the graph opens up or down.(5, 2); opens up(5, 2); opens down(-5, 2); opens up(-5, 2); opens down
- 9. Fill in the Blank
- 10. Multiple Choice
What is the constant that should be added to the expression to complete the square: x2 + 12x + ___
12
36
24
6
- 11. Multiple ChoiceWhich of the following equations shows the vertex form of a quadratic?
y = ax2 + bx + c
y = a(x - h)2 + k
- 12. Fill in the Blank
- 13. Multiple Choice
Complete the square and write the equation in Vertex Form: f(x) = x2 + 10x + 25
f(x) = (x - 5)2
f(x) = (x + 10)2
f(x) = (x+5)2
f(x) = x2 - 5
- 14. Multiple ChoiceWhich of the following equations matches standard form of a quadratic?ax + by = cy = a(x - h)2 + ky = ax2 + bx + cy = mx + b
- 15. Multiple ChoiceIdentify the 'b' value: y = 16x2 -8x -2416-88-24
- 16. Multiple ChoiceWhat do you do to the b value to correctly complete the square?square itdivide it by 2 and square the resultdivide it by 2 and take the square root of the resultdivide it by 2 only
- 17. Multiple ChoiceWhich of the following forms are best to use if we want to identify the vertex of a quadratic equation?Standard FormVertex FormIntercept Form
- 18. Multiple ChoiceFill in the blank: When we convert from standard to vertex form, the a value will ____________.Stay the sameBe the same but negativeBecome the vertexBe squared
- 19. Multiple ChoiceWhat is the constant that should be added to the expression to complete the square: x2 + 16x + ___1686432
- 20. Multiple Choice
What is the constant that should be added to the expression to complete the square: x2 + 12x + ___
12
36
24
6
- 21. Multiple Choice
Complete the square and write the equation in Vertex Form: f(x) = x2 + 16x + 64
f(x) = (x - 8)2
f(x) = (x+16)2
f(x) = x2 + 8
f(x) = (x+8)2
- 22. Multiple Choice
Complete the square and write the equation in Vertex Form: f(x) = x2 + 10x + 25
f(x) = (x - 5)2
f(x) = (x + 10)2
f(x) = (x+5)2
f(x) = x2 - 5
- 23. Multiple Choice
Complete the Square and write in Vertex Form: f(x) = x2 + 6x + 5
(x + 3)2 - 4
(x + 6)2 - 4
(x + 3x)2 - 4
(x + 3)2 + 9
- 24. Multiple Choice
Complete the square and write in Vertex Form f(x) = x2 + 4x + 9
f(x) = (x+2)2 + 5
f(x) = (x - 2)2 + 5
f(x) = (x+4)2 + 5
f(x) = (x+2)2 - 5
- Answer choicesTagsAnswer choicesTags