Section 1.6 Flashcards
Give an equation with a y intercept of 2.
g(x)=f(x) + 2
Give an equation where the x value shifts three to the right.
g(x)=f(x-3)
Function shifts left four and up four.
g(x)=f(x+4) + 4
Given g(x)=-f(x), for each point of x we take the opposite of which coordinate?
y coordinate.
Given y=f(x), Describe when there is a vertical stretching or vertical shrinking that occurs in the graph of the function.
g(x)=4f(x), When there is a coefficient c of function y=f(x), a vertical stretching or vertical shrinking occurs in the graph of the function. If c<0<1 there is vertical shrinking, and if c>1, there is vertical stretching because you should multiply each y coordinate of y=f(x) by c to get y=cf(x).
Give the equation where a horizontal stretching or shrinking occurs in the graph of the function.
g(x)=f(2x), When x in a function is replaced by cx, a stretching or shrinking occurs in the graph of the function. If 0<c>1, there is shrinking because you should divide each x coordinate of y=f(x) by c to get y=f(cx). </c>
Give the equation of a parabola shifted down 3.
g(x)=x^2-3
Gives the equation of a parabola shifted to the right 8.
g(x)=(x-8)2
Give the equation of a shifted parabola with a vertical stretch.
g(x)=6(x+4)2
Give a function shifted to the left 10 and reflect the resulting graph about the x axis.
h(x)=-√x+10
GIve the function of a horizontal stretch or shrink.
y=g(cx). The function shrinks when c is less than 1 and stretched when greater than 1.
Give the equation of vertical stretches and shrinks. What value is the exception?
other than 1, vertical stretches and shrinks are of the form y=cg(x). Shrinkage occurs when c is less than 1 and stretching occurs when c is greater than 1.
Give an equation of a reflection about the x axis.
y=-g(x)
Give a function that has a reflection about the y axis.
y=g(-x)
