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3 years ago

What is the equation of the graph below

Mathematics

2 answers:

Marina86 [1]3 years ago

8 0

Answer:

Equation would be y = (x + 3)² - 1.

Step-by-step explanation:

Given : Parabolic graph .

To find : What is the equation of the graph below.

Solution : We have given that parabolic graph .

Vertex : where the parabola changes direction, is called the "vertex" .

The graph opens upward, so the vertex is the minimum point of the parabola.

Vertex in given graph is ( -3 ,-1)

Vertex form of parabola : y = a(x - h)² + k ,

Where ( h , k) is vertex .

When "a" is positive, the graph of y = a(x - h)² + k opens upward and the vertex is the lowest point on the curve and vice- versa

In given graph h = -3 , k =-1 and a = positive.

Plug the values of h ,k in vertex form

y = (x - (-3))² - 1

y = (x + 3)² - 1

Therefore, Equation would be y = (x + 3)² - 1.

jeyben [28]3 years ago

7 0

Answer:

the first equation

Step-by-step explanation:

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see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?

victus00 [196]

Answer:

a= $17\sqrt{2}$

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: $a^2+b^2=c^2$

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

$17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}$

6 0

3 years ago

Read 2 more answers

Urgent help needed. Will mark you brainlest when correct

posledela

Question 7: Option (4)

$A=(3/8)^2=\frac{9}{64}$

Question 8: Option (3)

$A=\frac{1}{2}(17)(9)=76.5$

Question 9: Option (2)

$A=\pi(10)^2 \approx 314$

7 0

2 years ago

Solve for x: 6 over x equals 4 over 8

Talja [164]

Answer:

For the given expression, x = 12.

Step-by-step explanation:

Here, in the given expression:

6 over x equals 4 over 8.

Now, 6 over x = $\frac{6}{x}$

and 4 over 8 = $\frac{4}{8}$

So, here $\frac{6}{x} =\frac{4}{8}\\ \implies x = \frac{6 \times 8}{4} = 12$

⇒ x = 12

Hence, for the given expression, x = 12.

5 0

3 years ago

four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban

beks73 [17]

Answer:

apple: £0.20
banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

4a +b = 1.40

7a +b = 2.00

Subtracting the first equation from the second gives ...

(7a +b) -(4a +b) = (2.00) -(1.40)

3a = 0.60 . . . . simplify

a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

4(0.20) +b = 1.40

b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0

3 years ago

25 Points<br> 9<br> -3=7(-3)

Ksju [112]

I think the answer is: 6 = -21

8 0

3 years ago