Factoring
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 or x = -2
Solve the following quadratic equation by using square roots: x2 = 4
x = 2 or x = -2
Write the following quadratic in vertex form:
x2 + 6x +8= 0
y = (x + 3)2 - 1
What is vertex form of a quadratic?
y=a(x - h)2 + k
Find the vertex of f(x)=-x2 + 8x - 15
V: (4,1)
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2 or x = -1
Solve the following quadratic equation by using square roots: x2 = 121
x=11 or x=-11
Solve the following quadratic equation by completing the square: x2 - 6x +5 = 0
y = (x - 3)2 - 4
Given the table below, what is f(x) when x=1?
x | 1 | 2 | 3 | 4 | 5 | 6 |
f(x) | ? | 6 | 7 | 6 | 3 | -2 |
f(x)=3
Find the vertex of f(x) = x2 - 2x
V: (1,-1)
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5 or x = 1
Solve the following quadratic equation by using square roots: 4x2 = 400
x = 10 or x = -10
Solve for x by completing the square:
x2 - 2x - 24 = 0
x = -4 or x = 6
What is the range of the function
f(x)= 5(x-2)2 - 7
[-7, infinity)
Find the vertex of f(x) = 5x2 + 2x - 2
V: (-1/5, -11/5)
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9 or x = -3
Solve the following quadratic equation by using square roots: x2 -9 = -8
x=1 or x=-1
Solve the following quadratic equation by completing the square: x2 + 10x +16 = 0
x = -2 or x = -8
Given the quadratic function f(x) = -(x+5)2-3 and the point (-3,-7) on the parabola, state the reflected point.
(-7,-7)
Find the vertex of f(x)=-x2 - 4x
V: (-2, 4)
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2 or x = 3
Solve the following quadratic equation by using square roots: 5x2 + 3 = 128
x = 5 or x = -5
Solve the following quadratic equation by completing the square: 2x2 - 8x = 10
x = 5 or x = -1
The screen of a Nintendo Switch is 4 inches longer than it is wide. The area of its screen is 32 in2. If w represents the width, write an equation for the area of the screen, then solve for the screen's length and width.
32=w(w+4), 32=w2+4w, or w2+4w-32=0
w=4
l=8
Find the vertex of x = 5y2 + 4y + 3
V: (11/5, -2/5)