Graphs of Quadratics
Solving Quadratics
Solving by Square Rooting
Quadratic Formula / Discriminant
Linear Relationships
Polynomials & Absolute Value
100
What is the vertex of the following Quadratic?
y=(x-5)^2+4
(5,4)
(-h,k)
100
Solve the following Quadratic:
(2x-8)(x+3)=0
x=4,-3
100
Solve the following Quadratic:
x^2-36=0
x=+-6
100
What is the formula for the Discriminant?
D = b^2-4ac
100
Re-write the equation into y=mx+b form:
3y + 2x = -6
y = -2/3x - 2
100
Describe ALL of the transformations to the parent graph y = |x| in this function:
y=\frac{1}{4}|x-4|+3
Vertical compression by 1/4, horizontal translation right by 4, and a vertical translation by 3.
200
Give the Axis of Symmetry for the following Quadratic:
y=(x-9)(x+1)
x=4
200
Solve the following Quadratic:
2x^2+9x+7=0
x=-1,7/2
200
Solve the following Quadratc:
x^2 -25=0
x=+-5
200
How many solutions does the following Quadratic have?
y=2x^2+8x+8
Zero
200
DOUBLE JEOPARDY!!
Write a linear equation to describe the table.
Interpret the slope and the y-intercept
y = 3x + 2
$3 per game
$2 to start
200
Given
f(x)=-3x^3+5x^2+x-5
What is the end behavior of the function?
\text{As }x \to \infty , f(x)\to -\infty
\text{As } x\to -\infty , f(x)\to\infty
300
DOUBLE JEOPARDY!!
Find the axis of symmetry from the following Quadratic:
y=2x^2+8x-13
x=-4
300
Solve the following Quadratic:
3x^2+8x+5=0
x=-5/3,-1
300
Solve the following Quadratic:
2x^2 -32=0
x=+-4
300
What is the Quadratic Formula? Use your notes!
x=(-b+-\sqrt(b^2-4ac))/(2a)
300
A line has a slope of -5 and goes through the point (0, -7). What is the equation of the line perpendicular to this line with the same y-intercept?
The linear equation is
y=\frac{1}{5}x-7
300
Divide the polynomials:
(4x^2+3x−1)÷(x−3)
4x+15+\frac{44}{x-3}
400
Find the x-intercepts for the quadratic below:
y=3x^{2}+9x-12
x= -4, x=1
400
Solve the following Quadratic:
4x^2-3x-10=0
x=-5/4,2
400
Solve the following Quadratic:
(x-5)^2=49
x=-9,14
400
What kind of roots will this quadratic have?
2x^2+9x+11=0
Two complex roots
400
Which linear function has the greater rate of change? What is the rate of change for each panda?
The table has a greater rate of change. Mochi has a rate of change of 4 lbs/week. Kappa has a rate of change of 3 lbs/week.
400
Write the function graphed below:
y<2|x+3|-4
500
Find the roots and vertex for the following Quadratic:
y=4x^{2}-10x+4
ROOTS: (0.5,0) and (2,0)
VERTEX: (1.25, -2.25)
500
Solve the following Quadratic:
2x^2+x-10=0
x=-5/2,2
500
Solve the following Quadratic:
3(x-2)^2-9=0
r
x=2+\sqrt3,2-\sqrt3
500
Using the Quadratic Formula, solve the following Quadratic. Either decimals or roots form is acceptable. Show your work!
2x^2+8x+7=0
x=(-4+\sqrt2)/2,(-4-\sqrt2)/2
500
Show a graph that represents the solution set to this problem:
You can spend at most $25 on a gift basket full of chocolates (x) and candies (y). If the chocolates cost $2.50 per pound and the candies cost $2 per pound. What combinations of chocolate and candy can you use?
500
TRIPLE JEOPARDY!!!
Write the polynomial equation represented by the graph:
y=(x-5)^{2} (4x+5)(x-10)