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Chapter 8: Q40. (page 424)

Write an equation for each parabola described below. Then draw the graph.

vertex (-7, 4), axis of symmetry x = - 7, measure of latus rectum 6, a < 0.

Short Answer

Expert verified

The equation of the parabola is x=-32y-42-7.

The graph is:

Step by step solution

01

Step 1. Given

Vertex (-7, 4), axis of symmetry x=-7, measure of latus rectum 6, a < 0

02

Step 2. To determine

Write an equation for the parabola. Then draw the graph.

03

Step 3. Calculation

Since the directrix is parallel to the y-axis, so the standard form of the parabola is:

x=ay-k2+h.

Vertex = (h,k)=(-7,4)

4a=惭别补蝉耻谤别鈥夆赌塷蹿鈥夆赌塋补迟耻蝉鈥夆赌塕别肠迟耻尘=6

And a<0.

So, a=-64=-32.

So, the equation becomes:

x=ay鈭�k2+hx=鈭�32y鈭�42+鈭�7x=鈭�32y鈭�42鈭�7

Using a graphing calculator, the graph is:

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