Download presentation

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

8
**One missing transformation**

What about f(-x) f(x)=x3-3x-1 Reflection across the y axes

Similar presentations

OK

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x = x- intercept 4 Find the intercepts. x + 2(0)

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x = x- intercept 4 Find the intercepts. x + 2(0)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on 2d and 3d shapes By appt only business cards Ppt on singular plural for grade 1 Ppt on etiquettes at workplace Convert word doc to ppt online viewer Ppt on diodes and transistors Ppt on image demosaicing Ppt on polynomials and coordinate geometry pictures Ppt on relations and functions for class 11th biology The heart anatomy and physiology ppt on cells