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Mathematics

Grade10

Easy

Question

If a function f(x) represents the height of the football when kicked and f(x) = $negative 4 x to the power of 2 end exponent plus 16 x plus 8$
What is the quadratic equation if the height of the ball after the kick is 20 m?

$- 4 x^{2} + 16 x - 12 = 0$
$4 x^{2} - 16 x - 12 = 0$
$- 4 x^{2} + 16 x - 8 = 0$
$- 4 x^{2} + 16 x + 20 = 0$

hint Hint:

Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation

The correct answer is: $negative 4 x to the power of 2 end exponent plus 16 x minus 12 equals 0$

Step 1 of 1:
We have given a function f(x) = $negative 4 x to the power of 2 end exponent plus 16 x plus 8$
f(x) = $negative 4 x to the power of 2 end exponent plus 16 x plus 8$
$negative 4 x to the power of 2 end exponent plus 16 x plus 8 equals 20$
$negative 4 x to the power of 2 end exponent plus 16 x plus 8 minus 20 equals 0$
$negative 4 x to the power of 2 end exponent plus 16 x minus 12 equals 0$

The discriminant is the part of the quadratic formula found within the square root.

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