Consider the given function, h(x) = -x² +6x-13. (a) State whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s).

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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Consider the given function, h(x) = -x² +6x-13.
(a) State whether the graph of the parabola opens upward or downward.
(b) Identify the vertex.
(c) Determine the x-intercept(s).
(d) Determine the y-intercept(s).
(e) Sketch the function.
(f) Determine the axis of symmetry.
(g) Determine the minimum or maximum value of the function.
(h) Write the domain and range in interval notation.
Write your answers in exact form.
Transcribed Image Text:Consider the given function, h(x) = -x² +6x-13. (a) State whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form.
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