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 9 - Solving Quadratic Equations - 9.5 - Solving Quadratic Equations Using the Quadratic Formula - Exercises - Page 523: 68

Answer

On the $x$-axis

Work Step by Step

$$f(x)=9x^2-24x+16$$ $$D=b^2-4ac=(-24)^2-4(9)(16)=576-576=0$$ Since the discriminant is zero (one $x$-intercept), the vertex is on the $x$-axis.
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