Answer
$a\gt4$
Work Step by Step
Step 1. Given $y=ax^2-8x+4$, for the function to have no x-intercept, the discriminant needs to be negative.
Step 2. From $b^2-4ac\lt0$, we have $(-8)^2-4(a)(4)\lt0$ which given $a\gt4$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - 3.1 Quadratic Functions and Models - 3.1 Execises - Page 319: 78
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