Question

Graph the function $y=-3{(x+1)}^2+5$using transformations.

Short answer

The graph of the function using transformation can be given as

Step-by-step solution

Step `1: Given information

We are given the function$f\left(x\right)=-3{(x+1)}^2+5$

We first graph y=x2

We get,

Now we replace x by x+1 and plot the graph 

We get,

Now we multiply -3 we get

The graph can be given as

Now we add +5 to the right hand side and plot the graph

We get,