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Chapter 10: Q 1. (page 643)

The graph of a parabola is given. Match each graph to its equation.

Short Answer

Expert verified

The equation of a graph is

$y^{2} = - 4 x$ .

Step by step solution

Step 1. Given Information.

The given graph is

Step 2. The equation of a graph.

The vertex of a graph will be $(0, 0)$ and its focus will be $(- 1, 0)$ .

The axis of symmetry will be $y = 0$ and its axis of directix is $x = 1$ .

So, the equation of a graph will be

$y^{2} = - 4 x$ .

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In Problems 67–74, analyze each conic

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In Problems 31– 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40. $4 x^{2} - 4 x y + y^{2} - 8 \sqrt{5} x - 16 \sqrt{5} y = 0$

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True or False

To eliminate the $x y -$ term from the equation $x^{2} - 2 x y + y^{2} - 2 x + 3 y + 5 = 0$ , rotate the axes through an angle $θ$ , where $\cot θ = B^{2} - 4 A C$ .

Answer Problems using the figure.

The coordinates of the vertex are_______ .

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The graph of a parabola is given. Match each graph to its equation.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. The equation of a graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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