Chapter 11: Q.130 (page 1119)

In the following exercise, graph the equation $y = - x^{2} + 8 x - 15$

Short Answer

Expert verified

The required standard equation is ${(x - 4)}^{2} = - (y - 1)$

Step by step solution

Step 1, Given the information

The given equation of the curve ${(x - 4)}^{2} = - (y - 1)$ $y = - x^{2} + 8 x - 15$

Step 2. Convert into a standard form

Here, $y = - x^{2} + 8 x - 15 y = - (x^{2} - 8 x + 15) - y = (x^{2} - 2.4 x + 16 - 16 + 15) - y = {(x - 4)}^{2} - 1 {(x - 4)}^{2} = - (y - 1)$

Which is a parabola

Step 3. Draw a graph

The standard equation of a parabola is ${(x - 4)}^{2} = - (y - 1)$

Whose vertex is $(4, 1)$

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In the following exercise, graph the equation $y = - x^{2} + 8 x - 15$

Short Answer

Step by step solution

Step 1, Given the information

Step 2. Convert into a standard form

Step 3. Draw a graph

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In the following exercise, graph the equationy=-x2+8x-15

Short Answer

Step by step solution

Step 1, Given the information

Step 2. Convert into a standard form

Step 3. Draw a graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise, graph the equation $y = - x^{2} + 8 x - 15$