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Mathematics
9th -
11thgrade
Graphs of Quadratic & Polynomial Functions Review
36 questions
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- 1. Multiple ChoiceWhat is the vertex?(5,2)(2,5)(-2,5)(-5,2)
- 2. Multiple ChoiceWhat is the axis of symmetry in the following graph?y = -1y = 1x = -1x = 1
- 3. Multiple ChoiceDoes the following graph have a maximum or minimum.MaximumMinimum
- 4. Multiple ChoiceWhich of the following equations is the standard form of a quadratic?ax + by = cy = a(x - h)2 + ky = ax2 + bx + cy = mx + b
- 5. Multiple ChoiceWhat is the vertex of y = x2 + 4x + 3?(2,1)(-2,1)(0,0)(-2,-1)
- 6. Multiple ChoiceDoes the graph corresponding to the equation below open up or down?
y = -3x2 + 7x - 2updownbothneither - 7. Multiple ChoiceWhat is the equation for the axis of symmetry?y=3x=3x=5x=1
- 8. Multiple ChoiceWhat are the x-intercepts?(0, 0) and (0, -4)(0, 0) and (0, 4)(0, 0) and (-4, 0)(0, 0) and (4, 0)
- 9. Multiple ChoiceA parabola is reflected over the x-axis when a is:negativepositive0infinite
- 10. Multiple ChoiceHow many solutions does this graph have?onetwono solutionscannot be determined
- 11. Multiple ChoiceWhat is the y intercept for the equation:
y = -8x2 + 3x - 7(0, -8)(0, 3)(-8, -7)(0, -7) - 12. Multiple ChoiceFind the axis of symmetry for
f(x) = x2 - 8x + 15.x = -4x = 4y = 4y = -4 - 13. Multiple ChoiceWhat is another name for the x-intercepts of a quadratic?y-interceptzerosx-axisThey don't have another name
- 14. Multiple ChoiceFind the x-intercepts of the equation f(x) = x2 + 2x - 24(4,0) (-6,0)(0,-24)(6,0) (-4,0)(5,0) (0,0)
- 15. Multiple ChoiceFind the y-intercept of the equation
f(x) = x2 + 2x - 24(0,2)(-24,0) (2,0)(4,0)(0,-24) - 16. Multiple ChoiceFind the x-intercepts of the equation
f(x) = -x2 + 4x + 5(-1,0) (5,0)(1,0) (-5,0)(0,5)(0,4) (0,5) - 17. Multiple ChoiceFind the y-intercept of the equation
f(x) = -x2 + 4x + 5(0,-5)(-1,0)(0,5)(4,0) - 18. Multiple ChoiceFind the x-intercepts of the equation
f(x) = x2 + 5x - 14(10,0) (7,0)(-7,0) (2,0)(0,-14)(0,-7) (0,2) - 19. Multiple ChoiceFind the y-intercept of the equation
f(x) = x2 + 5x - 14(0,-14)(0,5)(0,-7)(0,2) - 20. Multiple ChoiceThe polynomial is...Odd degree, positive leading coefficient.Odd degree, negative leading coefficient.Even degree, positive leading coefficient.Even degree, negative leading coefficient.
- 21. Multiple ChoiceThis polynomial is degree 5.
It has...4 real zeros.3 imaginary zeros.positive leading coefficient.negative leading coefficient. - 22. Multiple Choicef(x)=(x+4)(x-3)(x-2)
List the zeros for this function.x=-4, x=3, x=-2x=-4, x=3, x=2x=-4, x=-3, x=-2x=4, x=3, x=2 - 23. Multiple ChoiceWhat is the degree of the polynomial function
P(x)=3x4-7x2-2x7-x+4?47211 - 24. Multiple ChoiceMatch the equation to the graph.y = -(x+1)(x-2)(x-4)y = (x+1)(x-2)(x-4)y = -(x+1)2(x-2)2(x-4)2y = (x+1)2(x-2)(x-4)
- 25. Multiple Choiceabcd
- 26. Multiple ChoiceThe domain of a polynomial function is always (-∞, ∞).TrueFalse
- 27. Multiple ChoiceThe range of a quadratic function is always (-∞, ∞).TrueFalse
- 28. Multiple ChoiceWhich equation corresponds to the graph?y = x(x-3)(x-2)y = x(x-3)2(x+2)y = x(x+3)2(x-2)y = -x(x+3)2(x-2)
- 29. Multiple ChoiceWhich root has even multiplicity?1-4-12
- 30. Multiple ChoiceWhich zero has an odd multiplicity?-442-2
- 31. Multiple ChoiceDescribe the graph.odd degree polynomialeven degree polynomialnot a polynomialnot a function
- 32. Multiple ChoiceDescribe the leading coefficient.evenoddpositivenegative
- 33. Multiple ChoiceAt x = -5, is there an even or odd multiplicity?evenoddneither
- 34. Multiple ChoiceAt x = 4, is there an even or odd multiplicity?evenoddneither
- 35. Multiple ChoiceSophie kicked a soccer ball really high. The equation h(t) = -3t2 + 24t represents the ball's height (h) at a certain time in seconds (t). At what time was her ball at the highest point?48 seconds4 seconds16 seconds2 seconds
- 36. Multiple ChoiceWhich of the following is not an x-intercept of f(x) = x3 - 4x(0,0)(2,0)(-2,0)(4,0)
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