NameDateAlgebra8.1−8.4 test reviewIn Exercises 1 and 2, identify characteristics of the quadratic function and its graph.1.2.In Exercises 3−8, graph the function. Compare the graph to the graph of f(x)=x2.3. g(x)=5x24. k(x)=32x2Up/downup/downAoS Vertex Max/MinD: R:
Q. NameDateAlgebra8.1−8.4 test reviewIn Exercises 1 and 2, identify characteristics of the quadratic function and its graph.1.2.In Exercises 3−8, graph the function. Compare the graph to the graph of f(x)=x2.3. g(x)=5x24. k(x)=32x2Up/downup/downAoS Vertex Max/MinD: R:
Identify Parabola Direction: Identify the direction of the parabola for g(x)=5x2. Since the coefficient of x2 is positive, the parabola opens upwards.
Determine Stretch Factor: Determine the stretch factor for g(x)=5x2.The coefficient 5 indicates that the parabola is stretched vertically by a factor of 5 compared to f(x)=x2.
Find Axis of Symmetry: Find the axis of symmetry (AoS) for g(x)=5x2.The AoS is x=0 because the equation is in standard form and symmetric about the y-axis.
Identify Vertex: Identify the vertex for g(x)=5x2.The vertex is at the origin (0,0) since there are no horizontal or vertical shifts.
Determine Vertex Type: Determine if the vertex is a maximum or minimum for g(x)=5x2.Since the parabola opens upwards, the vertex is a minimum.
State Domain: State the domain D for g(x)=5x2.The domain of any quadratic function is all real numbers, so D:(−∞,∞).
State Range: State the range (R) for g(x)=5x2. Since the parabola opens upwards and the vertex is at (0,0), the range is [0,∞).
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