Mathematics: Kis a nonzero integer and the graph of a parabola y = x² + 2kx + 4k is tangent to the x-axis. what is the value of k ? (a) - 4 (b) 0 (c) 2 (d) 4

Kis a nonzero integer and the graph of a parabola

bryce12351

26.05.2020

Since the function is tangent to the x-axis, it has a repeated root. That is the discriminant is zero.

For
$y = {x}^{2} + 2kx + 4k$
a=1, b= 2k, c=4k

But
${b }^{2} - 4ac = 0$

This means that,

$(2k) {}^{2} - 4(1)(4k)=0$
$4 {k}^{2} - 16k = 0$
4k(k - 4) = 0

$k = 0 \: \: or \: \: k = 4$

since k is non zero,

k = 4

<b>The answer is D</b>

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shygorringe

14.01.2022

The points all lie very close to the line of fit, and the

line is decreasing.

Step-by-step explanation:

Brainliest maybe

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