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Comparing Axes of Symmetry 286 Views


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Description:

GED Math 3.3 Graphs and Functions. Compare function A's axis of symmetry to function B's axis of symmetry.

Language:
English Language

Transcript

00:00

Thank you We sneak in and here's your smoke too

00:05

Sure brought to you by symmetry It's really bugging us

00:08

that the word is in a palindrome Quadratic function is

00:11

shown in the graph below Quadratic function b has the

00:14

equation f of x equals x squared plus five x

00:16

plus six function a's axis of symmetry is blank function

00:21

bees access of symmetry Well it's dropped down time and

00:26

there isn't even a fire We have three possible answers

00:29

in our little drop down thing here left of right

00:31

of and same at well we're told that the graph

00:33

is showing quadratic function a and then we're given the

00:36

equation for a quadratic function B it's up to us

00:39

to figure out what relation the two axes of symmetry

00:42

have to one another you can't cheat but check that

00:44

paternity record well for starters operable its axis of symmetry

00:49

It's this vertical line that passes through its centre in

00:53

the case of quadratic function a it'd be this line

00:56

right here x equals two point five to find these

00:59

axes of symmetry Well we're going to need to plug

01:01

in Chuck We used the equation X equals negative b

01:04

over two A where is the coefficient of the x

01:08

squared term And b is the coefficient of the extra

01:11

In the equation given to us we've got an x

01:13

squared coefficient of one and an ex coefficient of five

01:17

Well that's going to give us x equals negative five

01:20

over two times one or negative five half So what

01:24

does that tell us Well we don't care about the

01:26

numbers so much as we care about the negative that's

01:29

What tells us a cz access of symmetry is to

01:32

the right of bees We have our answer by the

01:35

way you have a rather lovely axes of symmetry yourself 00:01:38.138 --> [endTime] there if you don't mind my saying so

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