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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

01

Step 1. Given Information.

The given graph is

02

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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Most popular questions from this chapter

In Problems 43–52, identify the graph of each equation without applying a rotation of axes.

3 x^{2} + 2 x y + y^{2} + 4 x - 2 y + 10 = 0

In Problem, identify the graph of each equation without completing the squares.

$x^{2} + 4 x + y + 3 = 0$

In Problems 43–52, identify the graph of each equation without applying a rotation of axes.

3 x^{2} - 2 x y + y^{2} + 4 x + 2 y - 1 = 0

Find an equation for each ellipse. Graph the equation by hand.

Center at $(1, 2)$ : vertex at $(4, 2)$ :contains the point $(1, 5)$

True or False

The equation $a x^{2} + 6 y^{2} - 12 y = 0$ defines an ellipse if width="36">a>0

See all solutions

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