3 years ago

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 21.

Mathematics

1 answer:

Ronch [10]3 years ago

6 0

Answer:

y = 2x^2 + 16x + 11

Step-by-step explanation:

2(x + 4)^2 - 21

2(x + 4)(x + 4) - 21

2(x^2 + 8x + 16) - 21

2x^2 + 16x + 32 - 21

2x^2 + 16x + 11

You might be interested in

Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

5 0

2 years ago

Read 2 more answers

Which ratio forms a proportion with 25/35 . A. 3/5 B. 15/21 C.24/34 D. 5/11

iogann1982 [59]

In order to find this out, we just needed to find out which one has the same smallest fraction

25 / 35. Divided this by 5 and we will get 5/7 >>> smallest fraction

15/21 . Divided this by 3 and we also will get 5/7 >> smallest fraction

So the answer would be : B. 15/21

hope this helps

3 0

2 years ago

a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?

Fittoniya [83]

Answer:

i think i remember doing this

8 0

3 years ago

Identify one way to rewrite the expression using the Distributive Property. 2(9 + 3) A. (2 × 9) − (2 × 3) B. (2 × 9) + (9 × 3) C

Dmitry_Shevchenko [17]

The answer is D.

Because you want to find the rewrite way of distributive right? 2(9+3)

Therefore it’s (2x9) + (2x3)

3 0

2 years ago

Plss help??????????????

xeze [42]

Answer:

a land bridge

Step-by-step explanation:

fsfsgaggaggagagaggagaggssggsbsbhahahababbabnabababhabahajajjajaj

3 0

3 years ago