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: 65

Answer

Above

Work Step by Step

$$y=6x^2-2x+4$$ $$D=b^2-4ac=(-2)^2-4(6)(4)=4-96=-92$$ Since the discriminant is negative (no $x$-intercepts) and $a>0$, the vertex is above $x$-axis.
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