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3 years ago

What form is this equation in y= -3(x-5)^2+7 in?

Mathematics

2 answers:

Marianna [84]3 years ago

8 0

Answer:

vertex form

Step-by-step explanation:

y= -3(x-5)^2+7

This equation is written in vertex form

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

The vertex is (h,k)

Jet001 [13]3 years ago

8 0

Answer:

This equation is in vertex form.

Vertex form means that for a quadratic equation, the format is as shown:

y= ±a(b(x-h))²+k. This means that this equation will give you the vertex point directly from the equation.

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Why is it important to simplify radical expressions before adding or subtracting them?

gayaneshka [121]

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

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2 years ago

Work out the size of angle x

vfiekz [6]

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

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3 years ago

Read 2 more answers

You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (7w+6) subscriptions and y

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You have sold 72, and your friend has sold 74. Meaning your friend has sold 2 more magazine subscriptions than you.

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3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

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

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

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

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

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

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

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

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

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

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Evaluate 6 C 3 . 18 20 60 120

Novosadov [1.4K]

The answer will be 6 x 5 x 4 / 3 x 2 x 1, 5 x 4 = 20. Hope this helps

5 0

3 years ago