MATH 1310 Section 3.5.

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Presentation transcript:

MATH 1310 Section 3.5

Maximum and Minimum Values

Opening Up or Opening Down

Popper 14: f(x) = -2x2 – 16x – 27 1. Complete the square and rewrite in standard form: a. f(x) = -2(x + 9)2 b. f(x) = 2(x + 4)2 – 5 c. f(x) = -2(x + 4)2 + 5 d. f(x) = 2(x – 4)2 – 5 2. Determine the direction of the parabola: a. Opening Up b. Opening Down 3. Determine the equation of the axis of symmetry: a. x = 4 b. x = -4 c. x = 5 d. x = -5 4. Determine the coordinates of the vertex: a. (-4, 5) b. (-8, 10) c. (-2, 5) d. (-4, -5) 5. Is the vertex of this parabola a minimum or a maximum? a. Minimum b. Maximum c. Neither

Determine the equation of a parabola has x-intercepts of (5,0) and (-1,0) and a y-intercept of (0,-10).