For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: use the vertex/ax
is of symmetry formula for x. Show all work algebraically to earn full credit and use Desmos only to check your answer
1 answer:
Step-by-step explanation:
y = -2x² + 4x + 1
Complete the square.
y = -2 (x² − 2x) + 1
y = -2 (x² − 2x + 1) + 1 − (-2)(1)
y = -2 (x − 1)² + 3
The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.
Graph: desmos.com/calculator/qsih3rd8ev
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