Chapter 11: Q 11.33TI (page 1096)

Graph $x = - 4 (y + 2)^{2} + 4$ using properties.

Short Answer

Expert verified

The graph is

Step by step solution

Given information

Given the function $x = - 4 (y + 2)^{2} + 4$

Identify the constants a, h, k and the other parameters

Comparing, we get

$x = - 4 (y + 2)^{2} + 4 a = - 4 (h, k) = (4, - 2)$

As $a = - 4$ , parabola opens to the left

The axis of symmetry is $y = - 2$

Calculate the x intercept

Calculating, we get

$x = - 4 (y + 2)^{2} + 4 x = - 4 {(0 + 2)}^{2} + 4 x = - 12$

Calculating the y intercept

Calculating, we get

$x = - 4 (y + 2)^{2} + 4 - 4 {(y + 2)}^{2} = - 4 {(y + 2)}^{2} = 1 y + 2 = \pm 1 y = - 1, - 3$

Sketching the graph

The graph is

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Graph $x = - 4 (y + 2)^{2} + 4$ using properties.

Short Answer

Step by step solution

Given information

Identify the constants a, h, k and the other parameters

Calculate the x intercept

Calculating the y intercept

Sketching the graph

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Graphx=-4(y+2)2+4 using properties.

Short Answer

Step by step solution

Given information

Identify the constants a, h, k and the other parameters

Calculate the x intercept

Calculating the y intercept

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph $x = - 4 (y + 2)^{2} + 4$ using properties.