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3 years ago

What is the vertex of f(x) = |x + 8| – 3?

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

Answer:

(-8,-3)

Step-by-step explanation:

This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).

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I have nooooo clue, please help

Aleksandr-060686 [28]

Answer:

case a) $x^{2}=3y$ ----> open up

case b) $x^{2}=-10y$ ----> open down

case c) $y^{2}=-2x$ ----> open left

case d) $y^{2}=6x$ ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

$x=a(y-k)^{2}+h$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

$x^{2}=3y$

$y=(1/3)x^{2}$

$a=(1/3)$

$a>0$

therefore

The parabola open up

case b) we have

$x^{2}=-10y$

$y=-(1/10)x^{2}$

$a=-(1/10)$

$a$

therefore

The parabola open down

case c) we have

$y^{2}=-2x$

$x=-(1/2)y^{2}$

$a=-(1/2)$

$a$

therefore

The parabola open to the left

case d) we have

$y^{2}=6x$

$x=(1/6)y^{2}$

$a=(1/6)$

$a>0$

therefore

The parabola open to the right

3 0

3 years ago

Y³+3x²y+3xy²+y³-3x²y what is the answer

bazaltina [42]

$y^{2}$ (2y + 3x)

7 0

3 years ago

Find two consecutive integers whose <br> Sum is 93.

Alla [95]

Answer:

46 and 47.

Step-by-step explanation:

If x is one of the integers then the other is x+1.

x + x + 1 = 93

2x = 92

x = 46.

6 0

3 years ago

Read 2 more answers

julie had 3 1/3 cups of flour a brownie recipe called for 2 2/3 of flour if joule made one batch of browines how much flour did

Maurinko [17]

Answer: divide the get the answer

Step-by-step explanation:

3 1/3 divided by 2 2/3= ?

6 0

3 years ago

I have no idea about this! You need to simplify this:

mojhsa [17]

Simplify what you do not have anything written down or anything to look at.

3 0

3 years ago