Graph h(t) = = 2t² + 8t + 9. 10+ 9 8 7- 6- 5- 4 3 2- 1 10-9-8-7-6 -5 -4 -3 -2 -1. -1 234 -5. -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7 8 9 10

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Graph of the Quadratic Function**

The graph represents the quadratic function \( h(t) = 2t^2 + 8t + 9 \).

**Grid Details:**

- The graph is plotted on a Cartesian coordinate system.
- The x-axis and y-axis both range from -10 to 10.

**Interface Options:**

- **Clear All:** Resets the graph.
- **Draw Tools:** 
  - **Line Tool:** Allows drawing straight lines.
  - **Parabola Tool:** For plotting parabolic curves.
  - **Check Tool:** May be used to verify the plotted points or lines.
  - **Circle Tool:** For drawing circles.
  - **Point Tool:** Allows adding discrete points to the graph.

This graph and the corresponding function provide a visual representation of how the value of \( h(t) \) changes with \( t \). The quadratic equation is expected to produce a parabola, opening upwards, on the coordinate grid.
Transcribed Image Text:**Graph of the Quadratic Function** The graph represents the quadratic function \( h(t) = 2t^2 + 8t + 9 \). **Grid Details:** - The graph is plotted on a Cartesian coordinate system. - The x-axis and y-axis both range from -10 to 10. **Interface Options:** - **Clear All:** Resets the graph. - **Draw Tools:** - **Line Tool:** Allows drawing straight lines. - **Parabola Tool:** For plotting parabolic curves. - **Check Tool:** May be used to verify the plotted points or lines. - **Circle Tool:** For drawing circles. - **Point Tool:** Allows adding discrete points to the graph. This graph and the corresponding function provide a visual representation of how the value of \( h(t) \) changes with \( t \). The quadratic equation is expected to produce a parabola, opening upwards, on the coordinate grid.
Expert Solution
Step 1

Given ,  h(t)= 2t2+8t+9 

               x1            h(x1)

-1           

3
-2 1
-1.5 1.5
-1.25 2.125
-2.5 1.5
-2.25 1.125
-3 3
-2.75 2.125
-1.75 1.125

now , graph of the equation......

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