Resolved: "List a sequence of transformations, in words, to..."

Emeli Hagan

Answered question

2021-02-23

List a sequence of transformations, in words, to convert the graph of

f (x) = x^{2}

into the graph of

g (x) = - 6 (x - 2)^{2} + 5

Macsen Nixon

Skilled2021-02-24Added 117 answers

Given
We have to convert the graph of

f (x) = x^{2}

into the graph of

g (x) = - 6 (x - 2)^{2} + 5

Now, listing a sequence of transformations
we have

f (x) = x^{2}

Multiplying

x^{2}

by -6 we get,

- 6 x^{2}

. It will flip the graph and vertically stretch the graph, so that the ratio of the ordinate of points will be 6 :1 .
Now converting

- 6 x^{2} t o - 6 (x - 2)^{2}

. It will shift the graph horizontally right.
Now converting

- 6 (x - 2)^{2} t o - 6 (x - 2)^{2} + 5

. It will shift the graph vertically upward .
now we will get the graph of

g (x) = - 6 (x - 2)^{2} + 5

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