Show:
Standard Form
Vertex Form
Factored Form
Transformations
More Transformations
100
The generic equation for standard form.
What is ax2 + bx + c
100
The important information you can find from a function in vertex form.
What is the vertex and if it opens up or down
100
The information you can learn about a parabola that is in factored form.
What is the direction it will open and the x-intercepts
100
Changing the "a" value does this to a quadratic function
What is stretch or compress the graph and/or reflect over the x-axis
100
This happens to the graph when "a" is a number bigger than 1.
What is the graph stretches (gets thinner)
200
The important information you can find by looking at an equation in standard form.
What is the direction the graph opens and the y-intercept
200
The generic format of an equation written in vertex form.
What is f(x) = a(x - h)2 + k
200
The place where a graph touches the x-axis
What is the x-intercept
200
This happens to the graph when "a" is a fraction.
What is the graph compresses (gets wider)
200
changing the "h" value of a quadratic function does this to the graph
What is shift it horizontally
300
In the equation f(x) = 4x2 + 4 - 2 ... (0, -2)
What is the y-intercept
300
In f(x) = a(x - h)2 + k, this is the vertex.
What is (h, K)
300
find the x-intercepts for f(x) = (x - 2)(x - 3)
What are (2, 0) AND (3, 0) Remember to use the opposite sign for the x values
300
Name the "h" value of this equation g(x) = (x - 2)2 + 4
What is h = 2, the graph shifts 2 to the right
300
this is what the "k" value does to a graph of a quadratic function
What is shift the graph vertically (up or down)
400
The place where the graph crosses the y-axis.
What is the y-intercept
400
In the function f(x) = 2(x - 2)2 + 4, this is the vertex.
What is (2, 4) Remember to to use the opposite sign for the "h" value.
400
find the x-intercepts for g(x) = 2(x + 4)(x +2)
What are (-4, 0) AND (-2, 0) Remember to use the opposite sign for the x values
400
When "k" is positive the graph does this
What is move up
400
name the "k" in this equation: f(x) = (x - 3)2 + 2
What is k = 2, the graph will vertically shift up 2
500
Find the y-intercept of x2 + 8x + 16
What is (0, 16)
500
The vertex of f(x) = (x + 5)2 - 3
What is (-5, -3) Remember to use the opposite sign for "h"
500
the x-intercepts for g(x) = 3(x - 2)(x + 6)
What are (2, 0) AND (-6, 0) Remember to use the opposite sign for the x values
500
name the a, h, and k of f(x) = (x - 3)2 + 4
What is a=1, h = 3, k = 4 ...the graph will move to the right by 3 and up 4
500
name the a, h, and k of g(x) = 2(x + 1)2 - 3
What is a = 2, h = -1, k = -3 ...the graph would stretch by 2, move 1 to the left and up 3