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- 1. Multiple Choice
What is the quadratic parent function?
- 2. Multiple Choice
Which graph will have the farthest vertical shift away from the quadratic parent function?
g(x) = -x2 + 9
g(x) = 5x2 + 1
g(x) = 0.2x2 - 11
g(x) = -3x2 - 6
- 3. Multiple Choice
Which statements are true about the quadratic parent function?
**Select all that apply.**
It has only one x-intercept.
It opens downward.
The range is all real numbers.
The domain is all real numbers.
- 4. Multiple Choice
What is the range of this quadratic function?
y = x2 - 8
y > -8
y < -8
x = all real numbers
y = all real numbers
- 5. Multiple Choice
Based on this table of values, does the parabola open UPWARD or DOWNWARD?
UPWARD
DOWNWARD
CANNOT BE DETERMINED
- 6. Multiple Choice
Based on this table of values of a quadratic function, what is the VERTEX?
(-4, 0)
cannot be determined
(-1, -9)
(0, -8)
- 7. Multiple Choice
Using the graph of y = -1.5x2 + 12x - 23 shown here,
what are the values of x when y = -5?
x = 4
x = 2, 6
x = 3.2, 4.8
cannot be determined on the graph
- 8. Multiple Choice
The graph shown here represents which quadratic function?
- 9. Multiple Choice
MINIMUM
MAXIMUM
CANNOT BE DETERMINED
- 10. Multiple Choice
MINIMUM, because the value of "a" is positive.
MAXIMUM, because "a" times "c" is -12.
CANNOT BE DETERMINED
- 11. Multiple Choice
What are the other names for the "solution(s)" to a quadratic equation?
**Select all that apply!**
root(s)
x-intercept(s)
zero(s)
y-intercept(s)
- 12. Multiple Choice
Given a quadratic equation in standard form,
y = ax2 + bx + c,
how do you find the equation for the AXIS OF SYMMETRY?
- 13. Multiple Choice
TRUE or FALSE:
If a quadratic equation has 2 solutions, they will be equal distance from the axis of symmetry.
TRUE
FALSE
- 14. Multiple Choice
TRUE or FALSE:
If a quadratic equation has only 1 solution, it must pass through the origin (0, 0).
TRUE
FALSE
- 15. Multiple Choice
Describe the transformations from
f(x) = x2
to
g(x) = -0.3x2 + 4
vertical compression and shift up
reflection over x-axis, vertical compression, and shift up
reflection over x-axis, vertical stretch, and shift up
vertical stretch and shift down
- 16. Multiple Choice
Which graph will be the most vertically stretched compared to the quadratic parent function?
g(x) = -x2 + 9
g(x) = 5x2 + 1
g(x) = 0.2x2 - 11
g(x) = -3x2 - 6
- 17. Multiple Choice
TRUE or FALSE:
If a quadratic equation in standard form has a negative c-value, the parabola opens downward.
[y = ax2 + bx + c]
TRUE, "c" controls the direction of the parabola.
FALSE, "a" controls the direction of the parabola.
- 18. Multiple Choice
The graph shown here has _________.
one real solution
two real solutions
infinitely many solutions
no real solutions
- 19. Multiple Choice
TRUE or FALSE:
If the "bx" term is missing in a standard form quadratic, the equation for the axis of symmetry is x = 0.
(example: y = -2x2 - 10)
TRUE
FALSE
- 20. Multiple Choice
If the zeros of a quadratic function are (1, 0) and (9, 0), what is the equation of the axis of symmetry?
x = 1
x = 9
y = 0
x = 5
cannot be determined from this information
- 21. Multiple Choice
If there is only one zero of a quadratic function located at (3.5, 0), what is the equation of the axis of symmetry?
x = 7
x = 3.5
y = 0
x = 0
cannot be determined from this information
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