Graphs of Quadratics (A)
Graphs of Quadratics (B)
Factoring Quadratics
Solving Quadratics
Solving Quadratics
100
Name the x-intercepts of the function:
f(x)=(x+1)(x-7)
x-intercepts: (-1, 0) and (7, 0)
100
Identify the maximum value of:
f(x)=-(x+10)^2+3
The maximum value would be the y-value of the vertex (k) which is 3.
100
Factor
9x^2-25
(3x+5)(3x-5)
100
Solve:
3x^2-14=61
x=+- 5
100
Solve:
3x(x+4)=0
x=0 and x=-4
200
D.
y=-3(x-4)^2+1
200
Given f(x)=9x^2-8x-4 , what is the y-intercept and will the parabola open upwards or downwards?
y-intercept: (0, -4)
Opens upward because the a-value (9) is positive
200
Factor:
x^2+7x-44
(x+11)(x-4)
200
Solve:
x^2 +x=56
x=-8 and x=7
200
Solve the quadratic equation:
(3x-4)(x+7)=0
x=4/3 and x=-7
300
Determine the value of x where f(x) reaches its minimum. f(x)=(x-8)(x+15)
x=-3.5 or x=-7/2
300
Determine the y-intercept of:
y=-2(x+5)(x-6)
(0, 60)
300
Factor:
3x^2-21x
3x(x-7)
300
Solve:
-2(x+1)^2-5=-23
x=-4 and x=2
300
Solve:
2x^2+12x+4=-11
x=(-6+-sqrt6)/2
400
The height of a ball that is tossed in the air can be modeld by the function h(t)=-16t^2+22t+6 , where t is the time in seconds and h(t) is the height in feet. From what height was the ball launched?
6 ft.
400
Determine the vertex of
y=2x^2-16x+5
(4, -27)
400
Solve using factoring and the ZPP:
x^2-13x+40=0
x=5 and x=8
400
What is the sum of the solutions to the given equation?
x^2-8x-20=0
Solutions: x=-2 and x=10
Sum: 8
400
For which value of b will the equation have more than one real solution? 14x^2+bx+9=0 .
A. -13
B. -50
C. 1
B. -50
500
The height of a ball that is tossed in the air can be modeld by the function h(t)=-16t^2+22t+6 , where t is the time in seconds and h(t) is the height in feet. Determine the maximum height of the ball.
13.56 ft.
500
The following represent three equivalent quadratic functions. Idenify if the parabola faces upwards or downwards and then determine the y-intercept, x-intercepts and vertex.
y=-2(x+4)(x-8)
y=-2x^2+8x+64
y=-2(x-2)^2+72
The parabola faces downward because the a-value is negative (-2).
y-intercept: (0, 64)
x-intercepts: (-4, 0) and (8, 0)
Vertex: (2, 72)
500
The expression (2x-11)(4x+7) is equivalent to the expression ax^2+bx+c . What is the value of b?
b=-30
500
The height of a ball that is tossed in the air can be modeld by the function h(t)=-16t^2+22t+6 , where t is the time in seconds and h(t) is the height in feet. When will the ball land on the ground?
1.6 seconds
500
What is the positive solution to the given equation?
4x^2-3x-27=0
x=3