Question

6)What steps transform the graph of y = y? toy=-2(x + 1)2 + 3?

Answer 1

We will have the following:

*If we graph the problem we will obtain:

So, the steps to transform the first graph into the second one are:

1). We multiply the move the graph 1 unit to the left:

$x^2\to(x+1)^2$

2). We reduce the opening of the graph by a factor of 2:

$(x+1)^2\to2(x+1)^2$

3). We invert the direction of the opening of the parabola:

$2(x+1)^2\rightarrow-2(x+1)^2$

4). We move the graph 3 units up:

$-2(x+1)^2\rightarrow-2(x+1)^2+3$