Question

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Answer 1

The graph of g(x) is wider than f(x) and is shifted to the left 2 units and down 1 unit ,  Option C is the correct answer.

What is a function ?

A function is a mathematical statement which relates , a dependent variable and an independent variable.

The transformation being described is from

f(x)=x² to g(x)=3(x+2)²-1

f(x)=x2→g(x)=3(x−2)2+1

The horizontal shift depends on the value of h

The horizontal shift is described as:

g(x) = f(x+h) The graph is shifted to the left h units.

g(x) = f(x-h) The graph is shifted to the right h units

Horizontal Shift: Left 2 Units

The vertical shift depends on the value of k

. The vertical shift is described as:

g(x) = f(x) +k The  graph is shifted up k units

g(x) = f(x) -k  The graph is shifted down k units.

Vertical Shift: Down 1 Units

Compressing and stretching depends on the value of a

When a is greater than 1: Vertically stretched

When a is between 0 and 1: Vertically compressed

Vertical Compression or Stretch: Stretched

Therefore seeing to the option,  Option C is the correct answer

The graph of g(x) is wider than f(x) and is shifted to the left 2 units and down 1 unit.

To know more about Function

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