What is the vertex of the following Quadratic?
y=(x-5)2+4
(5,4)
(-h,k)
Solve the following Quadratic:
(2x-8)(x+3)=0
x=4,-3
Solve the following Quadratic:
x2-36=0
x=±6
What is the formula for the Discriminant?
D=b2-4ac
Re-write the equation into y=mx+b form:
3y + 2x = -6
y = -2/3x - 2
Describe ALL of the transformations to the parent graph y = |x| in this function:
y=14|x-4|+3
Vertical compression by 1/4, horizontal translation right by 4, and a vertical translation by 3.
Give the Axis of Symmetry for the following Quadratic:
y=(x-9)(x+1)
x=4
Solve the following Quadratic:
2x2+9x+7=0
x=-1,72
Solve the following Quadratc:
x2-25=0
x=±5
How many solutions does the following Quadratic have?
y=2x2+8x+8
Zero
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
Given
f(x)=-3x3+5x2+x-5
What is the end behavior of the function?
As x→∞,f(x)→-∞
As x→-∞,f(x)→∞
DOUBLE JEOPARDY!!
Find the axis of symmetry from the following Quadratic:
y=2x2+8x-13
x=-4
Solve the following Quadratic:
3x2+8x+5=0
x=-53,-1
Solve the following Quadratic:
2x2-32=0
x=±4
What is the Quadratic Formula? Use your notes!
x=-b±√b2-4ac2a
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=15x-7
Divide the polynomials:
(4x2+3x−1)÷(x−3)
4x+15+44x-3
Find the x-intercepts for the quadratic below:
y=3x2+9x-12
x= -4, x=1
Solve the following Quadratic:
4x2-3x-10=0
x=-54,2
Solve the following Quadratic:
(x-5)2=49
x=-9,14
What kind of roots will this quadratic have?
2x2+9x+11=0
Two complex roots
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.
Write the function graphed below:
y<2|x+3|-4
Find the roots and vertex for the following Quadratic:
y=4x2-10x+4
ROOTS: (0.5,0) and (2,0)
VERTEX: (1.25, -2.25)
Solve the following Quadratic:
2x2+x-10=0
x=-52,2
Solve the following Quadratic:
3(x-2)2-9=0
r
x=2+√3,2-√3
Using the Quadratic Formula, solve the following Quadratic. Either decimals or roots form is acceptable. Show your work!
2x2+8x+7=0
x=-4+√22,-4-√22
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?
TRIPLE JEOPARDY!!!
Write the polynomial equation represented by the graph:
y=(x-5)2(4x+5)(x-10)