Write y=-3x^2+12x-21 in vertex form

2 answers:

6 0

The vertex form of any function is : f(x) = a(x-h)^2 + k
Hence the correct option would be: A): "-3(x-2)^2-9"

riadik2000 [5.3K]3 years ago

5 0

Complete the square:
y = 3x^2 - 12x + 4 
y = 3(x^2 - 4x) + 4 
y = 3(x^2 - 4x + 4 - 4) + 4 
y = 3(x^2 - 4x + 4) - 12 + 4 
y = 3(x - 2)^2 - 8

You might be interested in

The wavelength of ultraviolet light is about 0.00000003 inches. Which number best approximates this length as a power of 10?

Phantasy [73]

Letter C is the answer

4 0

1 year ago

You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?

erik [133]

Answer:

61 grams

Step-by-step explanation:

5 0

2 years ago

Match each expression on the left with an equivalent expression on the right

Lana71 [14]

Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²

8 0

3 years ago

Read 2 more answers

Plz help me well mark brainliest if correct ...?????.

jasenka [17]

Answer:

Apples

Step-by-step explanation:

8 0

3 years ago

SHOW that (x + 3) and (x - 2) are factors of f(x) = x4 + 10x3 + 23x2 - 34x - 120.

Anna35 [415]

If f(x) = 0 then it is a root

x + 3 = 0
x=-3
f(-3) = (-3)^4 + 10(-3)^3 + 23(-3)^2 - 34(-3) - 120 = 0

x - 2 = 0
x=2
f(2) = (2)^4 + 10(2)^3 + 23(2)^2 - 34(2) - 120 = 0

8 0

3 years ago