Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z - 1) +3 Oy= (z + 1) + 3 Oy= (z- 1) (z +3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 13T
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### Question 7

#### Select a possible equation for a parabola with a vertex of (-1,3).

- **( ) \( y = (x + 1) (x - 3) \)**
- **( ) \( y = (x - 1)^2 + 3 \)**
- **( ) \( y = (x + 1)^2 + 3 \)**
- **( ) \( y = (x - 1) (x + 3) \)**

To solve this, recall that the vertex form of a parabola’s equation is \(y = a(x - h)^2 + k\), where \((h, k)\) is the vertex. For a vertex of (-1, 3), the equation should take the form \(y = a(x + 1)^2 + 3\). Hence, one possible correct equation from the options given is:

\( y = (x + 1)^2 + 3 \)
Transcribed Image Text:### Question 7 #### Select a possible equation for a parabola with a vertex of (-1,3). - **( ) \( y = (x + 1) (x - 3) \)** - **( ) \( y = (x - 1)^2 + 3 \)** - **( ) \( y = (x + 1)^2 + 3 \)** - **( ) \( y = (x - 1) (x + 3) \)** To solve this, recall that the vertex form of a parabola’s equation is \(y = a(x - h)^2 + k\), where \((h, k)\) is the vertex. For a vertex of (-1, 3), the equation should take the form \(y = a(x + 1)^2 + 3\). Hence, one possible correct equation from the options given is: \( y = (x + 1)^2 + 3 \)
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