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gtnhenbr [62]
3 years ago
15

What is the vertex of the graph of the function f(x) = x2 + 3x - 2?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

We need to write it on vertex form (f(x) = a(x - c)² + d where (c, d) is the vertex) and to do that we will complete the square.

f(x) = x² + 3x - 2

= (x² + 3x + 9/4) - 9/4 - 2

= (x + 1.5)² - 4.25

The vertex is (-1.5, -4.25).

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