Presentation is loading. Please wait.

Presentation is loading. Please wait.

Transformations of graphs

Similar presentations


Presentation on theme: "Transformations of graphs"— Presentation transcript:

1 Transformations of graphs
Summary of the four types of transformation

2 Y = f(x) is any function or
equation of a graph. This example is an cubic function/equation. y = f(x) There are five basic types of transformation of a graph i.e. five ways we can move the graph or change its shape

3 Point (x, y) becomes point (x, y+a)
y = f(x) + a y = f(x) +a Point (x, y) becomes point (x, y+a) y = f(x) + a This is a ‘shift’ in the y-direction

4 Point (x, y) becomes point (x-a, y)
y = f(x) y = f(x+a) -a Point (x, y) becomes point (x-a, y) y = f(x+a) This is a ‘shift’ in the x-direction, opposite to the sign of number a

5 y = f(x) y = -f(x) y = -f(x) This is a ‘reflection’ in the axis, mirror line y = 0 Every y coordinate gets multiplied by -1

6 y = Af(x) y = f(x) Notice what happens at the zeros y = Af(x) This is a ‘stretch’ in the y-direction, Scale factor A. Every answer (y-coordinate) gets multiplied by A

7 Notice what happens at the y-intercept
y = f(Ax) y = f(x) y = f(Ax) This is a ‘stretch’ in the x-direction, Scale factor 1/A Every x coordinate gets multiplied by 1/A, y values stay the same


Download ppt "Transformations of graphs"

Similar presentations


Ads by Google