I’m assuming you meant -2x^2 so It would be shifted to the left 3 it would be compressed from having 2 to 1.
So we know the slope has to be -3 and the y intercept is 2. y intercept looks like (0,2). since we know this we automatically can rule out B since it has (0,0).
let’s find the slope of A
-9- -5
-3- - 1
the slope= -4/-2= 2
we know it’s not A because the slope is not -3
let’s find the slope of C
-17- -8
-5- -2
slope= -9/-3=3
we know it’s not C because the slope is not -3. we could directly assume that D is the answer no but we’ll still find the slope just to be sure
let’s find the slope of D
14-8
-4- -2
slope=6/-2= -3
the answer is D!!
Shown in the graph
<h2>
Explanation:</h2>
Using graph tools we can graph the function:

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:


Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it
) will be:

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

<h2>
Learn more:</h2>
Cubic function: brainly.com/question/13773618#
#LearnWithBrainly