Vocab
Define Coefficient
f(x) = 1(x-6)^2
Which direction does graph go?
It goes to the right 6 times
f(x)=(x-2)^2+3
What are the coordinates for the y intercept, vertex, and x intercepts of this function?
(0,7), (2,3), and no x-intercepts.
g(x)=.5x^2+2x+3
Find the y-intercept of this function.
(0,3)
Define X-axis
The horizontal axis on a graph.
f(x) = (x)^2+2
Which direction does graph go?
It goes up 2 times.
f(x)=(x-3)^2+1
What are the coordinates for the y intercept, vertex, and x intercepts of this function?
(0,10), (3,1), and no x-intercepts
f(x)=2x^2-4x+4
What is the coordinate for the y-intercept in this function?
(0,4)
Define a Geometric Sequence
A sequence that either increases or decreases by using a common ratio.
f(x) = (x-3)^2 + 2
Which direction does graph go?
It goes to the right 3 times and up 2 times.
f(x)=2(x-.5)^2+.5
What are the coordinates for the y intercept, vertex, and x intercepts of this function?
(0,1), (-0.5,-0.5), and no x-intercepts.
f(x)=2x^2-4x+4
What is the coordinate for the vertex in this function?
(1,2)
Define a Function
A relationship between one or more variables.
f(x) = 1(x+3)^2 + 2
Which direction does graph go?
Is it upside down?
It is going to the left 3 times, up 2 times and it is not upside down.
f(x)=-2(x-3)^2+2
What are the coordinates for the y intercept, vertex, and x intercepts of this function?
(0,-16), (3,2), (2,0), and (4,0)
g(x)=19x^2+3x-14
What are the coordinates for both the y-intercept and the vertex in this function?
(-1,-8), (0,7)
Define Square Root
The square root is the same number of the multiplicand and multiplier of the product, the numbers can be negative or positive.
f(x) = -(x-3)^2 - 5
Which direction does graph go?
Is it upside down?
It is going to the right 3 times, down 5 times and upside down.
g(x)=2(x-5)^2-1
What are the coordinates for the y intercept, vertex, and x intercepts of this function?
(0,24), (5,-1), (4,0), and (6,0)