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rodikova [14]
2 years ago
8

" alt="f(x) = x {}^{2} - 5" align="absmiddle" class="latex-formula">
what is the vertex and the equation for the axis of symmetry

Mathematics
1 answer:
faust18 [17]2 years ago
7 0

Answer:

The vertex is (0, -5) and the axis of symmetry is x = 0.

Step-by-step explanation:

In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.

x = -b/2a

x = 0/2(1)

x = 0/2

x = 0

So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.

f(x) = x^2 - 5

f(x) = 0^2 - 5

f(x) = 0 -5

f(x) = -5

This gives us a vertex of (0,-5)

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Which statement correctly explains whether or not the values in the table represent a function of x
Lemur [1.5K]

Answer:

Step-by-step explanation:

A relation is said to be a function when each input value (x-value) show a distinct output value (y-value).

From the table attached,

For input value x = 0, there are multiple values of output values (y = -2, -1, 0, 1, -2).

Therefore, data given in the table doesn't represent a function.

7 0
2 years ago
HELP!
Ber [7]
A)
8^2+9^2=c^264+81=c^2
c^2=145c=sqrt 145c=12.04
B)
Pythagerean Theorum: 
A^2+B^2=C^2, where C is the hypotenuse and A and B are the other legs 
15^2=9^2+B^2 
225=81+B^2 
225-81=B^2 
144=B^2 (square root both sides) 
12=B
5 0
2 years ago
A bus as speed of 20m/s begin to slow at constant acceleration of 8.00m/s2 along a straight line find the average speed for the
MrRissso [65]

Answer:

-20 m/s.

Step-by-step explanation:

The computation of the average speed is shown below:

Given that

The initial velocity of the bus, u = 20 m/s

Aceleration of the bus, -a = 8 m/s²

time of motion, t = 5 s

Now The final velocity of the bus is  

v = u + at

v = 20 + (-8 × 5)

v = 20 - 40

v = -20 m/s.

6 0
2 years ago
Help me plz need help ???
expeople1 [14]

Answer: 15 times 12 i think maybe so 180

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
When is a polynomial factored completely?
Jet001 [13]

Answer:

A polynomial is factored completely when nothing else in the expression can be factored

Example:

x^2+3x-4 completely factored looks like (x+4)(x-1)

8 0
3 years ago
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