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Chapter 8: Q39. (page 424)

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

39. vertex (1, 7), directrix y = 3.

Short Answer

Expert verified

The equation of the parabola is y=2x-12+7.

The graph is:

Step by step solution

01

Step 1. Given

Vertex (1, 7), directrix y=3.

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 x-axis, so the standard form of the parabola is:

y=ax-h2+k

Vertex = (h,k)=(1,7)

2a=顿颈蝉迟补苍肠别鈥夆赌塨别迟飞别别苍鈥夆赌塿别谤迟别虫鈥夆赌塧苍诲鈥夆赌塪颈谤别肠迟谤颈虫=7鈭�3=4

So, a=2

So, the equation becomes:

y=ax鈭�h2+ky=2x鈭�12+7

Using a graphing calculator, the graph is:

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