What is the standard form of an absolute value function?
What is
y = a|x-h|+k
What is the vertex form for a quadratic function?
y = a(x-h)^2+k
r
What is the standard form for a quadratic function?
y = ax^2+bx+c
AX=B
What does the h do to the parent graph of an absolute value function?
h shifts the function left or right(opposite direction of the sign)
What is intercept form of a quadratic?
DOUBLE
y = a(x-p)(x-q)
If r = .85, what can you conclude from the model?
The model has a strong positive correlation.
If the a-value of the quadratic was negative, would the graph create a maximum or a minimum?
What do you multiply both sides of the matrix equation to get the variable matrix by itself?
The inverse of matrix A.
What does the k-value do to the parent graph of an absolute value function?
k shifts the function up or down k units
What is the vertex for the following function?
y = 2(x-3)^2+4
(3,4)
Given the scatterplot below, determine what type of correlation there is between the two variables.
Positive
DOUBLE
Create a quadratic regression model for the coordinates below:
(2,3), (3,1), and (1,1)
y = -2x^2+8x-5
Solve the system below using matrices:
-3x+6y=15
2x+3y=-12
x = 1.29
y = 3.14
Graph the function below:
DOUBLE
y = -2|x-3|+4
Find the axis of symmetry and the vertex, given the following:
y = -2(x-4)(x+4)
Vertex - (0,32)
Axis of Symmetry - x = 0
Create a linear regression model using (2,3) and (4,6).
y = 3/2x
Create a quadratic regression model for the data below:
y = -.33x^2+2.99x-5.999
DOUBLE
Solve the system below:
2x+3y−z=7
x-4y+2z=-3
3x+y+4z=10
(67/43,69/43,40/43)
Write the equation for the graph below:
y = 3/5|x-5|-6
What is the equation for the function below:
y = 2(x-3)^2-4
Create a linear regression model for the data below:
What score would a student get if they studied for 8 hrs?
y = 1.24x+71.99
81.9%
Mr. Hessinger hits a golf ball that is teed up 4 inches off the ground. The ball reaches a maximum height of 42ft and lands 10 seconds later. Create a model that represents the path of the golf ball.
y = -1.67x^2+16.7x+.33
A farmer is buying animals for his farm. He purchases cows, chickens, and goats.
Each cow costs $500, each chicken costs $20, and each goat costs $150. The farmer spends a total of $3,220.
The total number of animals he buys is 30.
The number of chickens he buys is twice the number of goats.
How many does he buy of each animal?
Round to the nearest whole number
18 - chickens
9 - goats