Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x+9)2-3

Shift the graph of y = x2 left 9 units and then down 3 units.

Shift the graph of y = x2 down 9 units and then left 3 units.

Shift the graph of y = x2 right 9 units and then down 3 units.

Shift the graph of y = x2 up 9 units and then right 3 units.

Answer 1

the first option is correct

Answer 2

how are you sure and @bobobobobb they told be to try an easier one to start which is

Describe how to transform the graph of f into the graph of g.

f(x) = x2 and g(x) = (-x)2

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

The two graphs are the same.

Reflect the graph of f across the y-axis.

Reflect the graph of f across the x-axis.

Answer 3

x^2 = (-x)^2
so graphs are the same

Answer 4

Yes @legendsending. The 2 graphs are the same.
You will learn later that this type of graph is called a parabola and looks like this:
So what happens when you reflect across the y axis? Nothing. Stays the same.

Answer 5

and x multiplied by x is x^2
-x multiplied by -x is also x^2

Answer 6

so for the first problem i posted you would have to shift the graph of y = x2 left 9 units and then down 3 units

Answer 7

That is right