Rewrite the function by completing the square. f(x)=x^2-4x-26

Mathematics

1 answer:

Radda [10]2 years ago

5 0

Answer:

$(x-2)^2-30$

Step-by-step explanation:

use the form $ax^2+bx+c$ to find the values of a, b, and c.

$a=1, b= -4, c = -26$

consider the vertex form of a parabola

$a(x+d)^2+e$

substitute the values of a and b into the formula $d=\frac{b}{2a}$

$d=\frac{4}{2(1)}$

simplify the right side.

find the value of e using the formula $e=c-\frac{b^2}{4a}$

$e=30$

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Give an example of how you use positive and negative numbers, and explain the meaning of 0 in your example.

EastWind [94]

Answer:

Meanings of the numbers:

Most numbers represent an amount. Positive numbers represent above zero. Zero is the only number that does not represent an amount. It means nothing. When you go lower than nothing, you are in the negative numbers. Negative numbers represent absent values pretty much.

How I would use them in every day life:

I would use positive numbers to represent... maybe something I'm trying to get at a store. Ex: 4 bananas

I would use negative numbers to... maybe look at the temperature. Ex: -16 degrees Fahrenheit. Negative numbers are in temperature all the time.

Hope this helps! (^-^)

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2 years ago

A monomial of the 2nd degree with a leading coefficient of 3

Rzqust [24]

Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3