QUADRATIC GRAPHS & THEIR PROPERTIES
QUADRATIC FUNCTIONS & DISCRIMINANT
SOLVING QUADRATIC FUNCTIONS
FACTORING QUADRATIC FUNCTIONS
COMPLETING THE SQUARE & QUADRATIC FORMULA
100
Which of the following is true about the quadratic shown?
A. The roots are (0, 1) & (0, 5).
B. The roots are (1, 0) & (5, 0).
C. The roots are (1, 5).
D. The roots are (5, 1).
B. The roots are (1, 0) & (5, 0).
100
It can be the highest or lowest point of a parabola.
Vertex
100
What are the x-intercept/s of the equation x2 = 64?
A. 64 and -64
B. 8 and -8
C. 16 and -16
D. 0 and 8
B. 8 and -8
100
What is another name for the x-intercepts of a quadratic?
A. y - intercept
B. x - axis
C. zeros
D. They don't have another name.
C. zeros
100
What value of c would make x2 +8x + c a perfect square trinomial?
A. 8
B. 64
C. 4
D. 16
D. 16
200
Which of the following is true about the graph shown?
A. The vertex is (-5, 0)
B. The vertex is (-3, -4)
C. The vertex is (-4, -3)
D. The vertex is (-1, -5)
B. The vertex is (-3, -4)
200
What is the axis of symmetry for the given graph?
A. y = 2
B. x = 0
C. x = 2
D. y = 0
C. x = 2
200
Which of the following equations can be solved easily using extracting square root?
A. x2 - 19 = 6
B. x2 + 8x + 7 = 0
C. x2 - 5x = 0
D. (x + 5)(x - 12) = 0
A. x2 - 19 = 6
200
What are the values of a, b, and c in the equation
3x2 + 8x = -2?
A. a = 3, b = 8, c = 2
B. a = 3, b = 8, c = -2
C. a = 3, b = 8, c = 0
D. a = 3, b = -8, c = 2
A. a = 3, b = 8, c = 2
200
What is the discriminant and how many solutions would x2 - 6x + 9 = 0 have?
A. 0, No Solutions
B. 0, 1 Solution
C. 72, 2 Solutions
D. -72, No Solution
B. 0, 1 Solution
300
Which answer choice describes y = -3x2 +7x - 2 accurately?
A. opens up with a maximum
B. opens down with a maximum
C. opens up with a minimum
D. opens down with a minimum
opens up with a maximum
opens up with a maximum
B. opens down with a maximum
300
What is the y intercept for the equation
y = -8x2 + 3x - 7
A. (0, -8)
B. (0, 7)
C. (0, 3)
D. (0, -7)
D. (0, -7)
300
What are the solutions of the equation 3x2 = 75?
A. x = 25, x = -25
B. x = 5, x = -5
C. x = 15, x = -15
D. x = 0, x = 25
B. x = 5, x = -5
300
What are the factors of x2 – 5x – 24 = 0?
A. (x - 3)(x + 8)
B. (x - 19)(x + 5)
C. (x - 5)(x + 19)
D. (x - 8)(x + 3)
D. (x - 8)(x + 3)
300
What is the discriminant of this equation?
3x2 + 8x = 0
A. 64
B. 52
C. 9
D. 0
A. 64
400
How many zeros does this parabola have?
A. 3
B. 0
C. 1
D. 2
D. 2
400
How do we write quadratic function in standard form?
y = ax2 + bx + c
f(x) = ax2 + bx + c
400
Find the zeros of the quadratic equation
4(x+9)2 - 36 = 0
A. x = -9+√6 & x = -9-√6
B. x = -6 & x = -12
C. x = 3 & x = -3
D. no solution
B. x = -6 & x = -12
400
What is the correct factorization of x2 - 11x + 18?
A. (x + 2)(x - 9)
B. (x - 2)(x + 9)
C. (x - 2)(x - 9)
D. (x + 2)(x + 9)
C. (x - 2)(x - 9)
400
Which graph has a postive discriminant?
A. red
B. blue
C. purple
D. none
C. purple
500
What is the equation of the quadratic shown in vertex form?
A. y = (x + 3)2 - 4
B. y = (x + 3)2 + 4
C. y = (x - 5)(x - 1)
D. y = (x + 5)( x + 1)
A. y = (x + 3)2 - 4
500
A function has a discriminant of 4.
How many x-intercepts does it have?
2
500
What are the x-intercepts of the equation
(x + 6)2 = 49?
A. x = 7 and x = 12
B. x = ±7
C. x = 43 and x = -55
D. x = 1 and x = -13
D. x = 1 and x = -13
500
Henry throws a tennis ball over his house. The ball is 6 feet above the ground when he lets it go. The quadratic function that models the height, in feet, of the ball after t seconds is f(x) = -16t2 + 46t + 6. How long does it take for the ball to hit the ground?
3 seconds