The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form. f(x) = 5x2 + 40x
Factor a out of the first two terms. f(x) = 5(x2 + 8x)
Form a perfect square trinomial. = 16
f(x) = 5(x2 + 8x + 16) – 5(16)
What is the function written in vertex form?

A.f(x) = 5(x + 4) – 80
B.f(x) = 5(x + 8) – 80
C.f(x) = 5(x + 4)2 – 80
D.f(x) = 5(x + 8)2 – 80

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that: "C.f(x) = 5(x + 4)2 – 80." Write the function in standard form. f(x) = 5x2 + 40x. Factor a out of the first two terms. f(x) = 5(x2 + 8x). Form a perfect square trinomial. = 16. f(x) = 5(x2 + 8x + 16) – 5(16). The vertex form is C.f(x) = 5(x + 4)2 – 80

Answer 2

Answer:

Use the formula $(a+b)^2=a^2+2ab+b^2$ for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:

$x^2 + 8x + 16=x^2+2\cdot x\cdot 4+4^2=(x+4)^2$ .

From the last given step you have that

$f(x) = 5(x^2 + 8x + 16)-5\cdot 16$ .

Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:

$f(x)=5(x+4)^2-80$ .

This means, when x=-4, f(-4)=-80 and vertex has coordinates (-4,-80).

Answer: correct choice is C.

Related Questions

Life me kbhi sad mt hona kitne log agree hai
In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30
The function C(f) = (f – 32) converts a temperature, f, in degrees Fahrenheit, to atemperature, C, in degrees Celsius. Determine C(52), to the nearest degrees Celsius.
Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3
Can someone help please!!!!!

What is the product?
2x(x – 4)
2x2 – 4
2x2 – 8
2x2 – 4x
2x2 – 8x

Answers

2x(x - 4)
2x × x + 2x × -4
2x^2 + 2x × -4
2x^2 + -2x × 4
2x^2 - 8x

The answer is: 2x^2 - 8x.

Answer:

2x^2-8x.

Step-by-step explanation:

Ninth grade algebra.i am solving for x

Answers

Answer: x = 1

Step-by-step explanation:

So you need to get x completely alone, so take c out of it by subtracting c

-3x = -3 -2c

x = 1 +2/3c

so you would plug that in to solve for C

So you know what x is (or the substitute for it right now)

-3(1 + 2/3c) + 2c = -3

multiply or add

-3 - 2c + 2c = -3

c is 0 when you combine

-3x + 0 = -3

-3x = -3

x = 1

Help ASAP pls :) brainly to whoever has the right answer first :D

Answers

Answer:

0.02 (rational)

2 (rational)

Square root of 2 (irrational)

Square root 1/2 (irrational)

Step-by-step explanation:

Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.

Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.

Thus, from the questions above;

$0.02 = (2)/(100) = rational \: number$