Graph the function. h(x) = -4x² +5 Plot five points on the graph of the function: one point with x = 0, two points with negative x-val graph-a-function button.

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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# Graphing a Function of the Form \( f(x) = ax^2 + c \)

## Task
Graph the function \( h(x) = -4x^2 + 5 \).

## Instructions
Plot five points on the graph of the function:
- One point with \( x = 0 \)
- Two points with negative \( x \)-values
- Two points with positive \( x \)-values

Click the graph-a-function button to plot the points.

## Graph Details
A typical Cartesian coordinate system graph is displayed. The grid is equipped with labeled axes for both \( x \) and \( y \), ranging from -10 to 12 on the \( y \)-axis, and -10 to 10 on the \( x \)-axis. The task requires you to plot the parabola described by the quadratic function \( h(x) = -4x^2 + 5 \).

## Tools Available
- Pencil icon for plotting points
- Eraser tool for correcting mistakes
- Curve tool for drawing the graph

### Additional Features
- Explanation button for detailed step-by-step guidance
- Check button to verify your plotted points

### Current Weather
- The temperature displayed is 55°F with mostly cloudy conditions.

Make sure to confirm each plotted point and use the tools as needed to correct or adjust your graph.
Transcribed Image Text:# Graphing a Function of the Form \( f(x) = ax^2 + c \) ## Task Graph the function \( h(x) = -4x^2 + 5 \). ## Instructions Plot five points on the graph of the function: - One point with \( x = 0 \) - Two points with negative \( x \)-values - Two points with positive \( x \)-values Click the graph-a-function button to plot the points. ## Graph Details A typical Cartesian coordinate system graph is displayed. The grid is equipped with labeled axes for both \( x \) and \( y \), ranging from -10 to 12 on the \( y \)-axis, and -10 to 10 on the \( x \)-axis. The task requires you to plot the parabola described by the quadratic function \( h(x) = -4x^2 + 5 \). ## Tools Available - Pencil icon for plotting points - Eraser tool for correcting mistakes - Curve tool for drawing the graph ### Additional Features - Explanation button for detailed step-by-step guidance - Check button to verify your plotted points ### Current Weather - The temperature displayed is 55°F with mostly cloudy conditions. Make sure to confirm each plotted point and use the tools as needed to correct or adjust your graph.
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