Intermediate Algebra (6th Edition)

Published by Pearson

Chapter 8 - Section 8.5 - Quadratic Functions and Their Graphs - Vocabulary, Readiness & Video Check: 11

Answer

$(0, 3)$

Work Step by Step

The vertex-form of a quadratic function is $y=a(x-h)^{2}+k$ where the vertex is the opposite of $h$ and $k$, or $(h, k)$. Given the function from the problem, $f(x)=2x^{2}+3$, written in vertex form this function looks like $f(x)=2(x-0)^{2}+3$. Therefore the vertex is at $(0, 3)$.

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