The focus of a parabola is located at (4,0), and the directrix is located at x =-4. Which equation represents the parabola?

Step-by-step explanation:

One of the important things to remember about parabolas is that the vertex is directly in between the focus and the directrix. Our focus is at (4, 0) and the directrix is at (-4, 0), so that means that the vertex (h, k) is at the origin (0, 0). Another important thing to remember is that the distance between either the vertex and the focus or the vertex and the directrix is the p value, the value that tells us how stretched or compressed the parabola is. Another thing to remember is that a parabola will always wrap itself around the focus away from the directrix. So here's what we know then:

Our parabola opens to the right, the equation for that is

,

p = 4, and the vertex is (0, 0). Filling in the formula for the parabola using that info:

which simplifies a bit to

and solving it for x:

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

chiken

step-by-step explanation: