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Don't understand letter Hcan u write the equation of the described function in standard form

Don't understand letter Hcan u write the equation of the described function in standard-example-1
User Stepancheg
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1 Answer

12 votes
12 votes

f(x) = (x + 1)(x - 2)

The standard form is


f(x)=ax^2+bx+c

To put it in the same form let us multiply the 2 brackets

(x + 1)(x - 2) = (x)(x) + (x)(-2) + (1)(x) + (1)(-2)

(x + 1)(x - 2) = x^2 + (-2x) + (x) + (-2)

Add the like terms on the right side

(x + 1)(x - 2) = x^2 + (-2x + x) + (-2)

(+)(-) = (-)

(x + 1)(x - 2) = x^2 + (-x) - 2 = x^2 - x - 2

The standard form is


f(x)=x^2-x-2

To reflect f(x) about the x-axis, change all the signs of the terms of the equation

f(x) after reflection about the x-axis is


f(x)=-x^2+x+2

User Jacc
by
2.5k points
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