All categories

2 years ago

Which of the following is the graph of the quadratic function y=x^2 - 4x + 4?

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

8 0

Answer:

look at x=0 and plug in 0 for any x you find in the equation

f(0) = 0² - 4*0 +4 = 4

c is out of the race then

let's do this again, but test for x=1 and x=2

f(1) = 1² - 4*1 + 4 = 1

f(2) = 2² - 4*2 +4 = 0

a and b are out

its graph d

when testing like this, choose easy-to-calculate numbers to find out what points you get when asking for the y-value at an arbitrary x-place

nordsb [41]2 years ago

7 0

Answer:

Step-by-step explanation:

convert into vertex form

x^2-4x+4 = (x-2)^2 +0

vertex: (2, 0)

Graph D has vertex (2, 0)

You might be interested in

If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the

vitfil [10]

Answer: $9\pi \ in.^2$

Step-by-step explanation:

Given

The height of the cylinder is $h=7\ in.$

The volume of the cylinder is $V=63\pi \ in.^3$

The volume of the cylinder is the product of area and height

$\Rightarrow V=\pi r^2h\\$

Insert the values

$\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2$

Thus, the area of the cross-section is $9\pi \ in.^2$

7 0

2 years ago

PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT!!

Montano1993 [528]

Answer:

the second one +1.5 m/s

Step-by-step explanation:

to find the velocity you need to find the slope of the two points then just put it into the time (s) and position (m) terms which equals +1.5 m/s

7 0

2 years ago

Read 2 more answers

Find the missing value of x and y.

scoray [572]

Step-by-step explanation:

tan 60 = 21 ÷ y

1.73 = 21 ÷ y

y = 21 ÷ 1.73

y = 12.14

tan 30 = x÷ 12

0.6 x 12 = x

x = 7.2

4 0

2 years ago

A company was able to increase its staff from 127 employees to 204

alekssr [168]

The percentage increase in staff was 60.6%.

8 0

2 years ago

I’ll mark brainlest:( i need help!

enyata [817]

Answer: Choice A) $3 \sqrt{26}$

==================================================

Work Shown:

$\text{The two points are } (x_1,y_1) = (6,7) \text{ and } (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\$

$d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\$

When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule $\sqrt{x*y} = \sqrt{x}*\sqrt{y}$ to break up the root and simplify.

7 0

3 years ago

￼Which of the following is the graph of the quadratic function y=x^2 - 4x + 4?

Which of the following is the graph of the quadratic function y=x^2 - 4x + 4?