How to find the equation of a curve

Practice Questions

SSAT Upper Level Quantitative (Math) › How to find the equation of a curve

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1

If the -intercept of the line is and the slope is , which of the following equations best satisfies this condition?

2

A vertical parabola on the coordinate plane includes points and .

Give its equation.

3

A vertical parabola on the coordinate plane has vertex and -intercept .

Give its equation.

4

A vertical parabola on the coordinate plane has vertex ; one of its -intercepts is .

Give its equation.

5

A vertical parabola on the coordinate plane has -intercepts and , and passes through .

Give its equation.

6

A vertical parabola on the coordinate plane has -intercept ; one of its -intercepts is .

Give its equation.

7

A vertical parabola on the coordinate plane has -intercept ; its only -intercept is .

Give its equation.

8

An ellipse on the coordinate plane has as its center the point . It passes through the points and . Give its equation.

9

A vertical parabola on the coordinate plane shares one -intercept with the line of the equation , and the other with the line of the equation . It also passes through . Give the equation of the parabola.

10

Ellipse 1

Give the equation of the above ellipse.

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