Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers or fractions for any numbers in the equation.) -12 10- (0,-5) -10- J 12 (4,-4) √

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.2: Parabolas
Problem 97E: Write the equation of a parabola that opens up or down in standard form and the equation of a...
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# Parabola Equation

## Problem Statement
Write an equation for the parabola shown to the right.

## Graph Description
The graph depicts a parabola opening upwards. The parabola has its vertex at the point \((0, -5)\). Another point on the parabola is \((4, -4)\). 

### Graph Axes
- The \(x\)-axis ranges from \(-12\) to \(12\) and has markings at intervals of \(4\).
- The \(y\)-axis ranges from \(-10\) to \(10\) and has markings at intervals of \(5\).

### Notations
- The vertex of the parabola is indicated at \((0, -5)\).
- Another point on the parabola is marked at \((4, -4)\).

### Solution Area
The equation of the parabola is \( \boxed{\phantom{)}} \).
(Use integers or fractions for any numbers in the equation.)
Transcribed Image Text:# Parabola Equation ## Problem Statement Write an equation for the parabola shown to the right. ## Graph Description The graph depicts a parabola opening upwards. The parabola has its vertex at the point \((0, -5)\). Another point on the parabola is \((4, -4)\). ### Graph Axes - The \(x\)-axis ranges from \(-12\) to \(12\) and has markings at intervals of \(4\). - The \(y\)-axis ranges from \(-10\) to \(10\) and has markings at intervals of \(5\). ### Notations - The vertex of the parabola is indicated at \((0, -5)\). - Another point on the parabola is marked at \((4, -4)\). ### Solution Area The equation of the parabola is \( \boxed{\phantom{)}} \). (Use integers or fractions for any numbers in the equation.)
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