Question

WILL GIVE BRAIN AND 100 POINTS NEED HELP ASAP PLZZZ !!!! Suppose a parabola that has its vertex at (0, 0) opens to the left on the coordinate plane and the distance from the focus to the vertex is p. Collin says that the equation √(x+p)^2+(y−0)^2=p−x could be used to relate the distance between the point (x, y) on the parabola and the focus, and the distance between the point on the parabola and the directrix. Examine the equation to determine whether Collin is correct. If so, explain why. If not, correct his equation to match the parabola that was described.

Answer 1

No, Collin's equation is not correct. The correct equation to relate the distance between a point (x, y) on a left-opening parabola, the focus, and the directrix is (x+p)^2+(y−0)^2=(p−x)^2.

Step-by-step explanation:

No, Collin's equation is not correct. The correct equation to relate the distance between a point (x, y) on a parabola that opens to the left and the focus, and the distance between the point on the parabola and the directrix is (x+p)^2+(y−0)^2=(p−x)^2.

Let's break down the correct equation step by step:

1. The vertex of the parabola is at (0, 0), so we have (x+p)^2+(y−0)^2 as the distance between the point and the focus.
2. Similarly, the distance between the point and the directrix is p−x.
3. Squaring both sides of the equation gives us (x+p)^2+(y−0)^2=(p−x)^2.

This equation accurately represents the relationship between the distances described in the question.

Answer 2

its correct bc its related to x and y so its showing hes

right and same as the equation Step-by-step explanation: