Solving Quadratics
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
Solve for the unknown variable 2x + 8 = -22.
-15
Simplify
sqrt(90)
+-3sqrt(10)
Is the following a function?
{(3, 9), (4, 9), (1, 0), (-2, 4)}
yes
Find the vertex of f(x)=-x2+8x-15
(4,1)
Describe the transformations from the parent graph of
f(x)=-x^2
Reflection
Solve the following quadratic equation by factoring. x2+3x+2 = 0
Solve for the unknown variable -3(x+2) - 5 = 4
What is x = -29 ?
Simplify.
9sqrt(8)-6sqrt(2)
12sqrt(2)
If f(x) = -3x - 9, what is f(-2)?
What is -3 ?
Describe the end behavior f(x)=x2-2x
As x goes to negative infinity, f(x) goes to positive infinity
Describe the transformation from the parent graph of
f(x)=3x^2
The parabola has a vertical stretch (gets narrower).
Solve the following quadratic equation by factoring. 4x2 = 400
x = 10 x = -10
Solve the system of equations
2x + y = -4 and -3x - y = -2.
What is (6, -16)
Simplify.
2sqrt3*5sqrt(3
30
Solve for x,
-2(x - 3) - 2 < 8
What is x > -2 ?
What is the y-intercept of f(x)=5x2+2x-2
(0, -2)
Describe the transformation from the parent graph of
f(x)=(x-3)^2
Translates right 3 units.
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2 x = 3
Solve the two systems
2x + y = 5 and -2x -3y = -11
What is (1,3)?
Simplify.
(x2 - 4x + 6) - (2x2+3x - 2)
-x2 -7x + 8
It costs $10 to rent a pair of bowling shoes, plus $3 per game you bowl. Write an equation that represents the cost to bowl x number of games.
What is y = 3x + 10
f(x)=3(x-2)^2+4 What is the range?
y is greater than or equal to 4
Describe the transformation(s) from the parent graph of
f(x)=-(x-5)^2+2
Reflection, Translate right 5 up 2
Solve the following quadratic equation by using the quadratic formula: 4x2 - 17x - 15 = 0
x = 5 x = -3/4
Tell if there is one solution, no solution or infinite solutions to the system of equations
y = 3x + 5 and -6x + 2y = 8.
What is no solution?
Simplify.
(x - 6)(x + 2)
x2 - 4x - 12
dashed line and shaded above
Find the vertex of
f(x)=-1/2(x+4)^2-9 What is the interval of decrease
(-4 to infinity)
Describe the transformation from the parent graph of
f(x)=-1/3x^2
Reflection, Vertical Compression (parabola gets wider)