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Chapter 9: Q. 291 (page 946)

Explain how to find the intercepts of a parabola.

Short Answer

Expert verified

To find the x-intercepts,

Simply solve the quadratic equation.

To find the y-intercept,

Since the y-intercept marks the point where x=0, all that you have to do is substitute 0 in for x in the parabola's equation.

Step by step solution

01

Step 1. Define x-intercepts and y-intercept.

The y-intercept is the point at which the parabola intersects the y-axis.

The x-intercepts are the points or the point at which the parabola intersects the x-axis. A parabola can have either 2,1or zero realx intercepts.

02

Step 2. Method to find the intercepts of a parabola.

To find the x-intercepts,

Simply solve the quadratic equation.

To find the y-intercept,

Since the y-intercept marks the point where x=0, all that you have to do is substitute 0in for xin the parabola's equation.

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