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Chapter 1: Q. 62 (page 24)

In Problems 62, draw a quick sketch of each equation.
$x = y^{2}$

Short Answer

Expert verified

The graph is shown below:

Step by step solution

Given information

The given equation is $x = y^{2}$ .

Make a xy table

Rewrite the given equation in term of $y$ .

$y = \pm \sqrt{x}$

$x$	$y$
$0$	$\pm \sqrt{0} = 0$
$1$	$\pm \sqrt{1} = \pm 1$
$4$	$\pm \sqrt{4} = \pm 2$

Plot the points.

Plot the points $(0, 0), (1, 1), (1, - 1), (4, - 2)$ and $(4, 2)$ .

Join the points.

Join the above points.

Write the conclusion

The final graph is shown below:

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Most popular questions from this chapter

Graph the line containing the point P and having slope m.

$P (- 1, 3), m = 0$

Which of the following equations might have the graph shown? (More than one answer is possible.)

$(a) 2 x + 3 y = 6 (b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (d) x - y = 1 (e) x - y = - 1 (f) y = 3 x - 5 (g) y = 2 x + 3 (h) y = - 3 x + 3$

Can the equation of every line be written in slope–intercept form? Why?

Graph the line containing the point P and having slope m.

$P (2, - 4), m = 0$

Which of the following equations might have the graph shown? (More than one answer is possible.)

$(a) 2 x + 3 y = 6 (b) 2 x - 3 y = 6 (c) 3 x + 4 y = 12 (d) x - y = 1 (e) x - y = - 1 (f) y = - 2 x - 1 (g) y = - \frac{1}{2} x + 10 (h) y = x + 4$

See all solutions

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In Problems 62, draw a quick sketch of each equation.x=y2

Short Answer

Step by step solution

Given information

Make a xy table

Plot the points.

Join the points.

Write the conclusion

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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In Problems 62, draw a quick sketch of each equation.
$x = y^{2}$