Question

Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.

Answer 1

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:$y= f(x)=x^2$

We are given that the graph of f into the graph of g.

$f(x) = x^2$ and $g(x) = -(-x)^2$

Reflect over y axis.

Reflected graph $=(-x)^2$

Reflect the obtained graph over x axis

$g(x)=-(-x)^2$

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.