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00% GD 三。 三|ニ=、=▼三E Image opt 2 I.. 3 3. Functions can be translated, reflected, stretched or compressed. Consider the standard form of a quadratic function, y = a(x- h) + k. The sign of a indicates %3D whether the parabola opens upward or downward. Use substitution, the vertex (h, k), and another point on the graph to determine the value of a, and write the function shown by each graph. 3 12 1 -4 -3 -2 -1 0 1 2 -1 2 Function: ->

00% GD 三。 三|ニ=、=▼三E Image opt 2 I.. 3 3. Functions can be translated, reflected, stretched or compressed. Consider the standard form of a quadratic function, y = a(x- h) + k. The sign of a indicates %3D whether the parabola opens upward or downward. Use substitution, the vertex (h, k), and another point on the graph to determine the value of a, and write the function shown by each graph. 3 12 1 -4 -3 -2 -1 0 1 2 -1 2 Function: ->

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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3. Functions can be translated, reflected, stretched, or compressed. Consider the standard form of a quadratic function, \( y = a(x-h)^2 + k \). The sign of \( a \) indicates whether the parabola opens upward or downward. Use substitution, the vertex \((h, k)\), and another point on the graph to determine the value of \( a \), and write the function shown by each graph. **Graph Description:** - The graph is a grid with x and y axes labeled. - It shows a parabola opening upwards. - The vertex of the parabola is at (0, 0). - The parabola passes through the point (1, 1), indicating that it is the shape of \( y = x^2 \), as it has not been stretched or compressed. Function: _______
Transcribed Image Text:3. Functions can be translated, reflected, stretched, or compressed. Consider the standard form of a quadratic function, \( y = a(x-h)^2 + k \). The sign of \( a \) indicates whether the parabola opens upward or downward. Use substitution, the vertex \((h, k)\), and another point on the graph to determine the value of \( a \), and write the function shown by each graph. **Graph Description:** - The graph is a grid with x and y axes labeled. - It shows a parabola opening upwards. - The vertex of the parabola is at (0, 0). - The parabola passes through the point (1, 1), indicating that it is the shape of \( y = x^2 \), as it has not been stretched or compressed. Function: _______
The image is from an educational document titled "Extension Activity 2, Honors Algebra 2A v7.0." It contains a graph and a section labeled "Function: _________" for students to fill in. ### Graph Description: - **Axes**: The graph features the x-axis and y-axis, both labeled with numbers. The x-axis ranges from -6 to 6, and the y-axis ranges from -2 to 8. - **Grid**: The graph is overlaid with grid lines that form squares. - **Graph Characteristics**: - The plotted graph is a V-shaped function, likely representing an absolute value function. - It is symmetric about the y-axis, with the point at the bottom of the "V" at the origin (0, 0). - The arms of the "V" extend upwards, intersecting the y-axis at positive values and widening towards the x-axis extremes. Students are likely meant to analyze this graph, identify the type of function it represents (such as an absolute value function), and write its equation in the provided space next to "Function: _________".
Transcribed Image Text:The image is from an educational document titled "Extension Activity 2, Honors Algebra 2A v7.0." It contains a graph and a section labeled "Function: _________" for students to fill in. ### Graph Description: - **Axes**: The graph features the x-axis and y-axis, both labeled with numbers. The x-axis ranges from -6 to 6, and the y-axis ranges from -2 to 8. - **Grid**: The graph is overlaid with grid lines that form squares. - **Graph Characteristics**: - The plotted graph is a V-shaped function, likely representing an absolute value function. - It is symmetric about the y-axis, with the point at the bottom of the "V" at the origin (0, 0). - The arms of the "V" extend upwards, intersecting the y-axis at positive values and widening towards the x-axis extremes. Students are likely meant to analyze this graph, identify the type of function it represents (such as an absolute value function), and write its equation in the provided space next to "Function: _________".
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