Question: 1. Given the function f(x) = 2x 2 - 3x - 5, determine the following: a) x-intercepts b) y-intercept c) Does the graph have a

1. Given the function f(x) = 2x2 - 3x - 5, determine the following:

a) x-intercepts

b) y-intercept

c) Does the graph have a maximum or a minimum value? What is the value?

d) Vertex

e) Equation of the Axis of symmetry

f) Domain

g) Range

h) Graph the function on graph paper. Label the x-intercepts, y-intercept, and vertex. Remember to label and number your x-axis and y-axis!

2. Given the function y = -0.5(x - 6)2 + 2.75, algebraically determine its equation in general form.

3. Given the following information,

  • Axis of symmetry is x = 3
  • Maximum Value is 6
  • a point on the graph is (5, -2)

a) algebraically determine the function in standard form.

b) sketch the graph.

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