Which of the following represents the vertex of the quadratic function graphed above?
(−1, −3)
(3, −1)
(−3, −1)
(0, −2)
Which of the following must be true about the function graphed above?
a < 0
|a| < 1
a > 0
|a| > 1
Select all the numbers that represent roots of the function.
6
4
3
2
What is the minimum of the quadratic function graphed above?
−1
0
2
−4
Which of the graphs could represent the function {-3x^2} + 9x + 8?
Which list shows the functions in order from widest graph to narrowest graph?
y = -4x^2, y = \frac{1}{2}x^2, y = x^2 - 4, y = -\frac{2}{3}x^2 + 2x
y = \frac{1}{2}x^2, y = x^2 - 4, y = -\frac{2}{3}x^2 + 2x, y = -4x^2
y = -4x^2, y = x^2 - 4, y = -\frac{2}{3}x^2 + 2x, y = \frac{1}{2}x^2
y = \frac{1}{2}x^2, y = -\frac{2}{3}x^2 + 2x, y = x^2 - 4, y = -4x^2
Which of the following expressions is NOT quadratic?
2x(x + 9)
2x - 4x - 9
(x + 4)(3x - 2)
{3x^2} - 19x + 2
What are the roots of the graph below?
{4, 0}
{−2, 4}
{−2, 6}
No real solutions
The graph of y ={ x^2} - 8x + 12 has a y intercept of
2
- 8
12
6
Find the vertex of the parabola that represents the expression {x^2} - 6x + 5
(- 3, 8)
(- 3, - 10)
(3, - 4)
(3, 5)
Does the parabola represented by the equation y = - {(x - 4)^2} - 3 have a maximum or a minimum; what is its value?
Maximum at - 3
Minimum at - 4
Minimum at - 3
Maximum at 4
Which of these quadratic functions is shown in the graph:
y = {(x + 3)^2} + 1
y = {(x - 3)}^2 - 1
y = {(x + 3)}^2 - 1
y = {(x - 3)}^2 + 1
A parabola is represented by the equation f(x) = 2{(x + 5)}^2 + 2 Identify the vertex and whether the graph opens up or down.
(5, 2); opens up
(- 5, 2); opens up
(5, 2); opens down
(- 5, 2); opens down
Which of the functions below has an axis of symmetry at x = 2 and a minimum value of - 4?
y = 3{(x + 2)}^2 - 4
y = - 3{(x + 2)}^2 + 4
y = 3{(x - 2)}^2 - 4
y = - 3{(x - 2)}^2 + 4
If the function f(x) = - 3{(x + 2)}^2 - 10 is graphed, the vertex will be located at:
(2, -10)
(-2, -10)
(2,10)
(-2,10)
Does the parabola of the equation y = (2x - 3)(- 4x + 9) open up or down, and is it skinnier or wider than the parent function? HINT: Multiply using the box method, then answer the question.
opens up; narrower
opens down; narrower
opens up; wider
opens down; wider
Which of the following is the graph of - 2{x}^2 + 8x - 12 = y?
A
B
C
D
Which of the following is a parabola with an axis of symmetry x = -1, y-intercept at 1, and point (1, -5)?
A
B
C
D
Find the greatest common factor of the terms r{^5}s^5 and r{^5}s^4.
r{^5}s^5
s{^4}
rs{^4}
r{^5} s^4
Factor out the greatest common factor 3x{^2}y^5 + 6x^2 y^4
{3x^4} {y^2} (y + 2)
{3x^2 y^4 }(y + 2)
{x^2 y}(3y + 2)
(y + 2)
Find the pair of numbers whose product is -8 and sum is 2.
-4 and 2
-8 and 1
4 and -2
8 and -1
Factor completely s{^2} + 5s + 6
(s - 3)(s - 2)
(s + 6)(s + 1)
(s + 6)(s + 5)
(s + 3)(s + 2)
Factor x{^2} - x - 54
(x - 54)(x + 1)
(x - 6)(x + 9)
(x + 6)(x - 9)
Cannot be factored
If a = 0, then ab = ?
a
b
0
1
Which of the following is the factored form of x{^2} - 9
(x + 3)(x + 3)
(x - 9)(x + 9)
(x + 3)(x - 3)
(x(x - 9))
Which of the following is equivalent to (x + 7)^2
x{^2} + 49
x{^2 }+ 14x + 49
x{^2} + 7x + 14
x{^2} + 14
What is the factored form of the equation y = 6x{^2} + 5x - 6?