Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 8 - Graphing Quadratic Functions - 8.4 - Graphing f(x) = a(x-h)^2 + k - Exercises - Page 446: 20

Answer

Vertex: $(6,0)$. Axis of symmetry: $x=6$

Work Step by Step

The quadratic function in the form $y=a(x-h)^2+k$ has the vertex $(h,k)$ and the axis of symmetry $x=h$. $$f(x)=\frac14(x-6)^2$$ Rewrite as: $$f(x)=\frac14(x-6)^2+0$$ Therefore $h=6$, $k=0$. The vertex is: $$(h,k)=(6,0).$$ The axis of symmetry is: $$x=6.$$
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