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3 years ago

On the set of axes below, draw the graph of y=x^2-4x-1

Mathematics

1 answer:

never [62]3 years ago

5 0

9514 1404 393

Answer:

axis of symmetry: x = 2

see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

y = (x^2 -4x +4) -1 -4

y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

x = 2 . . . . . axis of symmetry

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.

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A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the pa

Lorico [155]

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

<h3>What is a Parabola ?</h3>

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

To know more about Parabola

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8 0

1 year ago

one dozen doughnuts cost $6.00. if the unit price is the same, how many doughnuts can be bought with $16?

kodGreya [7K]

32 doughnuts can be bought with $16.

Step-by-step explanation:

One dozen doughnuts = $6.00

One dozen = 12

$6.00 = 12 doughnuts

$1.00 = $\frac{12}{6.00} = 2$

Therefore, 2 doughnuts can be bought for $1.

For $16 dollars;

No. of doughnuts = Amount * Doughnuts per dollar

$No.\ of\ doughnuts=16*2\\No.\ of\ doughnuts=32$

32 doughnuts can be bought with $16.

Keywords: division, multiplication

Learn more about multiplication at:

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4 0

3 years ago

Find the volume of the prism. Round to the nearest tenth if necessary

Liono4ka [1.6K]

Answer:

63cm³

Step-by-step explanation:

The shape above is a rectangular prism

The formula for a rectangular prism is given as:

= Length × Width × Height

Length = 3cm

Width = 3cm

Height = 7cm

= 3cm × 3cm × 7cm

= 63 cm³

The volume of the rectangular prism = 63cm³

6 0

3 years ago

Which expression is equal to the expression below?

gavmur [86]

Hey there!

$\bold{(2\times6)^4}$
$\bold{2\times6=12}$
$\bold{12\times12\times12\times12}$
$\bold{12\times12=144}$
$\bold{144\times144=20,736}$

$\bold{A.\downarrow}$

$\bold{4\times(2\times6)}$
$\bold{2\times6=12}$
$\bold{4\times12=48}$
$\bold{48\neq20,736}$
$\boxed{\bold{incorrect}}$

$\bold{B.\downarrow}$

$\bold{8^4}$
$\bold{8\times8\times8\times8}$
$\bold{8\times8=64}$
$\bold{64\times64=4,096}$
$\bold{4,096\neq20,736}$
$\boxed{\bold{incorrect}}$

$\bold{C.\downarrow}$

$\bold{2\times(6)^4}$
$\bold{6^4=1,296}$
$\bold{2\times1,296=2,592}$
$\bold{2,592\neq20,736}$
$\boxed{\bold{incorrect}}$

$\bold{D\downarrow}$

$\bold{2^4\times6^4}$
$\bold{2^4=16}$
$\bold{6^4=1,296}$
$\bold{16\times1,296=20,736}$
$\bold{20,736=20,736}$
$\boxed{\boxed{\bold{correct}}}$

$\boxed{\boxed{\bold{Answer:D.2^4\times6^4}\checkmark}}$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

5 0

2 years ago

Brian is fencing a rectangular area in the backyard for his dog. He has 25 ft of fence. He does not need fencing on the side tha

Triss [41]

25-9=16
16/2=8
therefore
9by8

4 0

2 years ago