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CAN YA’LL PLEASE HELP ASAP! IF SO THANK YOU SO MUCHHHHHHHHHHHH

EASY 10 POINTS
The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0
0
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Drag each function to show whether it has roots at

CAN YALL PLEASE HELP ASAP IF SO THANK YOU SO MUCHHHHHHHHHHHH EASY 10 POINTSThe quadratic functions shown are written in factored form The roots of a quadratic f class=

Respuesta :

The functions that have roots at x = -1 and x = 4 are

j(x) = (-1-x)(2x-8)  and g(x) = (x+1)(x-4)

The functions that have roots at x = -4 and x = -1 are

h(x) = (-3-3x)(3x+12) and k(x) = (x+1)(x+4)

The functions that have roots at neither are

f(x) = (x-1)(x-4) and (3-3x)(3x-12)

Quadratic equation

From the question, we are to determine the quadratic functions that have the given roots

First, we will determine the roots of the given functions

  • For k(x) = (x+1)(x+4)

Since the roots of a quadratic function will make the factors equal to 0,

Then,

(x+1)(x+4) = 0

x + 1 = 0 OR x + 4 = 0

x = -1 OR x = -4

  • For m(x) = (3-3x)(3x-12)

(3-3x)(3x-12) = 0

Then,

3 - 3x = 0 OR 3x -12 = 0

3x = 3 OR 3x = 12

x = 3/3 OR x = 3/12

x = 1 OR x = 4

  • For g(x) = (x+1)(x-4)

(x+1)(x-4) = 0

Then,

x+1 = 0 OR x-4 = 0

x = -1 OR x = 4

  • For f(x) = (x-1)(x-4)

(x-1)(x-4) = 0

Then,

x -1 = 0 OR x -4 = 0

x = 1 OR x = 4

  • For h(x) = (-3-3x)(3x+12)

(-3-3x)(3x+12) = 0

Then,

-3 -3x = 0 OR 3x + 12 = 0

3x = -3 OR 3x = -12

x = -3/3 OR x = -12/3

x = -1 OR x = -4

  • For j(x) = (-1-x)(2x-8)

(-1-x)(2x-8) = 0

Then,

-1 -x = 0 OR 2x - 8 = 0

x = -1 OR 2x = 8

x = -1 OR x = 8/2

x = -1 OR x =4

Hence,

The functions that have roots at x = -1 and x = 4 are

j(x) = (-1-x)(2x-8)  and g(x) = (x+1)(x-4)

The functions that have roots at x = -4 and x = -1 are

h(x) = (-3-3x)(3x+12) and k(x) = (x+1)(x+4)

The functions that have roots at neither are

f(x) = (x-1)(x-4) and (3-3x)(3x-12)

Learn more on Quadratic equations here: https://brainly.com/question/23680118

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