# Shared Flashcard Set

## Details

2-Precalculus:Quiz:3.1-3.2:Notes
2-Precalculus:Quiz:3.1-3.2:Notes
15
Mathematics
03/03/2016

Term
 How do you shift the graphf(x)=(x^2)"A" units Left---------------
Definition
 f(x)=(x+A)^2-----
Term
 How do you shift the graphf(x)=(x^2)"A" units Right-----
Definition
 f(x)=(x-A)^2-----
Term
 How do you reflect the graphf(x)=(x^2)Over the x-axis-----
Definition
 f(x)=-(x^2)------
Term
 How do you stretch the graphf(x)=(x^2)"A" units-----
Definition
 f(x)=A(x^2)Plot the point, not the vertex on "A"------
Term
 In this problemf(x)=a((x-h)^2)+kWhat is "h"?-------------
Definition
 The x-value of the vertex-----------
Term
 In this problemf(x)=a((x-h)^2)+kWhat is "k"?------------
Definition
 The y-value of the vertex-----------
Term
 In this problemf(x)=a((x-h)^2)+kHow do you solve for "a"?---------------
Definition
 1.)Plug in the values for "h" and "k"------------------2.)Choose one point on the graph that is not the vertex. --------------------3.)Plug in the "x" value of that point in for "x".----------------------4.)Replace f(x), with the y-value of that point.-------------------5.)Solve for "a"------------------
Term
 In this problemf(x)=a((x-h)^2)+kWhat do you do once you know the "h", "k", and "a" values when trying to complete the quadratic function form?-----------
Definition
 Plug them all in, leaving "x" as a variable-----------------------
Term
 What is the standard form of this equation?y=ax^2+bx----------
Definition
 ((x+(b/2a))^2)-((b/2a)^2)-----------
Term
 What is the axis of symmetry?------------
Definition
 The x-value of the vertex-----
Term
 How do you find the x-intercepts?----------------
Definition
 They are the "x" values on the points where the graph crosses the "x" axis------------------
Term
 How do you find the y-intercepts?----------------
Definition
 Make "x" equal 0 in the original equation of the form:y=(ax^2)+bxAnd solve for "y"-----------------
Term
 How do you find the minimum value using the graph?-------------
Definition
 It is the y-value of the vertex-------------------
Term
 How do you find the minimum value of a function in this form:f(x)=(ax^2)-bx+c----------------
Definition
 ((b/2a)^2)-------------
Term
 What is the range of a function of this form?f(x)=(ax^2)-bx+c----------------
Definition
 [((b/2a)^2),Infinity)-----------------
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