Have an account?
Skip to Content
Build your own quiz
Mathematics
8th -
10thgrade
Algebra Nation - Section 6 (Quadratic Function)
40 questions
Show Answers
See Preview
- 1. Multiple ChoiceWhat is the axis of symmetry in the following graph?(-1,0)X=0x=-1X=1
- 2. Multiple ChoiceDoes the following graph have a maximum or minimum.MaximumMinimum
- 3. 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
- 4. Multiple ChoiceIf we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?-a-b/ab/2a-b/2a
- 5. Multiple ChoiceWhat is the vertex of y=x2+4x+3?(2,1)(-2,1)(0,0)(-2,-1)
- 6. Multiple ChoiceDoes the equation open up or down?
Y = -3x2 +7x - 2updownbothneither - 7. Multiple ChoiceWhat is the equation for axis of symmetry?y=3x=3x=5x=1
- 8. Multiple ChoiceWhat are the green dots called?axis of symmetryvertexparabolaroots or x-intercepts
- 9. Multiple ChoiceDoes this parabola have a minimum or maximum and what is its value?minimum: 2maximum: 2minimum: 5maximum: 5
- 10. Multiple ChoiceWhat are the x- intercepts?x= 0 and x= -4x= 0 and x= 4y= 0x= 2
- 11. Multiple ChoiceHow many solutions does this graph have?onetwono solutionscannot be determined
- 12. Multiple ChoiceWhat is the y intercept for the equation:
y = -8x2 + 3x - 7(0, -8)(0, 3)(-8, -7)(0, -7) - 13. Multiple ChoiceFind the axis of symmetry for
f(x) = x2- 8x + 15.x = -4x = 4y = 4y = -4 - 14. Multiple ChoiceWhat is the vertex?(5,2)(2,5)(-2,5)(-5,2)
- 15. Multiple Choice
If given the equation f(x) = 3(x + 5)2 - 4, what is the vertex of the parabola?
(5, -4)
(-5, -4)
(-15, -4)
(15, -4)
- 16. Multiple ChoiceConvert to vertex form.y=3(x+1)2 - 8y=3(x-1) 2 - 8y=3(x+2)2 - 8y=3(x-2)2 - 8
- 17. Multiple ChoiceConvert to vertex form.y=-2(x+12)2 - 67y=-2(x-12)2 - 67y=-2(x-6)2 - 67y=-2(x+6)2 - 67
- 18. Multiple ChoiceGiven the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?MaximumMinimumNot enough information - 19. Multiple ChoiceWhat is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)2+3x=4x=-4x=1/2x=3
- 20. Multiple ChoiceWhat causes the graph of y = x2 to open downward?multiply the x2 by a fractionmultiply the x2 by a decimalmultiply the x2 by a negative numbermultiply the x2 by a number greater than 1
- 21. Multiple ChoiceWhich transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?a vertical translation 4 units upa vertical translation 4 units downa horizontal translation 4 units to the lefta horizontal translation 4 units to the right - 22. Multiple ChoiceHow did we transform from y=x2 to
y = -3x2reflection in x-axis and vertical shift downreflection x-axis and vertical stretchhorizontal stretchreflection x-axis and vertical compression - 23. Multiple ChoiceMatch the description to its equation.
Moves right 7ABCD - 24. Multiple ChoiceMatch the description to its equation.
- moves down 3ABCD - 25. Multiple ChoiceIf red represents y = x2, which equation represents blue?y = 2x2y = -2x2y = -x2y = (x - 1)2
- 26. Multiple Choice
Determine the equation for the red graph.
g(x)=(x-3)2
g(x)=x2-3
g(x)=x2+3
g(x)=3x2
- 27. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=x2+5horizontal shift right 5 unitshorizontal shift left 5 unitsvertical shift up 5 unitsvertical shift down 5 units - 28. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)2horizontal shift left 7 unitshorizontal shift right 7 unitsvertical shift up 7 unitsvertical shift down 7 units - 29. Multiple ChoiceIn the equation f(x)=5(x+3)2-10 what effect does the 5 do when compared to the parent function?Vertical stretch by a factor of 5Vertical shrink/compress by a factor of 5Reflect over x-axisVertical shift up 5 units
- 30. Multiple ChoiceIf the blue is f(x)=x2, the red must beg(x)=(x+3)2g(x)=(x-3)2g(x)=x2+3g(x)=x2-2
- 31. Multiple ChoiceWhich of the following quadratic functions has the WIDEST graph?f(x)= -3x2h(x)= 2x2g(x)= ¼x2p(x)= 4x2
- 32. Multiple ChoiceWhich of the following is the correct equation for the given graph?f(x) = (x - 2)2 - 1f(x) = (x + 2)2 - 1f(x) = -(x + 2)2 - 1f(x) = -(x - 2)2 - 1
- 33. Multiple Choice
Which quadratic function is represented by the graph?
y = -(x + 1)2 - 4
y = -(x + 1)2 + 4
y = -(x - 1)2 - 4
y = (x + 1)2 + 4
- 34. Multiple ChoiceWhich of the following shows
f(x) = x2 + 12x - 2
written in vertex form?f(x) = (x + 6)2 + 142f(x) = (x + 6)2 - 34f(x) = (x + 6)2 - 38f(x) = (x + 6)2 + 34 - 35. Multiple Choice
The axis of symmetry line passes through which point?
y-intercept
any random point
vertex
symmetrical point for the vertex
- 36. Multiple Choice
What is the equation of this graph?
f(x) = (x -5)2 + 1
f(x) = (x - 1)2 - 5
f(x) = (x + 1)2 - 5
f(x) = (x + 5)2 +1
- 37. Multiple Choice
What is the green dashed line called?
roots or x-intercepts
parabola
axis of symmetry
line of dashes
- 38. Multiple Choice
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
y = -2
x = 3
x = -3
y = 2
- 39. Multiple Choice
What piece of information does c identify in the following equation?
y = ax2 + bx + c
Zeroes
Axis of Symmetry
Direction
y-intercept
- 40. Multiple Choice
What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?
y = 4
y = - 4
x = 4
x = - 4
- Answer choicesTagsAnswer choicesTags