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Aleonysh [2.5K]
3 years ago
7

How is the graph of the parent function y=x^2 transformed to produce the graph of y=3(x+1)^2?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0

Answer:

Shift 1 units towards left and then stretch vertically 3 times.

Step-by-step explanation:

We are given that a parent function

y=x^2

After transformation, we get a graph y=3(x+1)^2

We have to find that how the parent function transformed to produce the graph of y=3(x+1)^2

The parent graph is shifted  1 unit towards left by the rule of transformation

f(x)\rightarrow f(x+1)

By applying this rule then, we get

y(x)=(x+1)^2

Now, the parent function stretched vertically 3 times the previous graph  by the rule

f(x)\rightarrow 3f(x)

Apply this rule then, we get

y(x)=3(x+1)^2

Ann [662]3 years ago
6 0

The +1 in parenthesis is adding one to the x value, which shifts the graph 1 unit to the left, called a horizontal translation.

The 3 outside of the parenthesis is multiplying the X value by 3, which narrows the shape of the graph ( makes the curve 3 times sharper), which is called a vertical stretch.

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