Given the quadratic function f (x) = 2 (x+3.5) ^2-4.5, find the equation of the axis of symmetry, and find the zeros of the function. Determine whether the function has a maximum value or minimum value and determined that value.

Question

Mathematics

Jaden Weeks

16 February, 21:29

Given the quadratic function f (x) = 2 (x+3.5) ^2-4.5, find the equation of the axis of symmetry, and find the zeros of the function. Determine whether the function has a maximum value or minimum value and determined that value.

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Answers (1)

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Roderick Russo · Answer 1

The vertex is (-3.5, - 4.5). You can see this values right in the equation because it is in vertex form.

The axis of symmetry will go vertically through the vertex, so it is x = - 3.5.

The zeros are (-5, 0) and (-2, 0). You can find those by graphing it or setting the left side equal to 0 and solving for x.