All categories

2 years ago

The graph of which function has an axis of symmetry at x=3?

Mathematics

2 answers:

iragen [17]2 years ago

5 0

Answer:

A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12

Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

3 = -b/2(1)

3 = -b/2

6 = -b

b = -6

Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.

jeka942 years ago

4 0

Answer:

The correct answer is f(x) = x2 – 6x – 1.

Step-by-step explanation:

That would be the last graph option. (Option D.)

Hope this helps! :)

You might be interested in

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

Maru [420]

Answer:

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

8 0

2 years ago

Read 2 more answers

The perimeter of an isosceles triangle is p = 2a + b. Find the numerical value of a if p = 10 and b = 3.

bagirrra123 [75]

P = 2a + b
10= 2a + 3
2a = 10-3
a = 7/2 = 3.5

Therefore, numerical value of a is 3.5

7 0

2 years ago

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2

Ann [662]

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

3 0

2 years ago

Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

4 0

2 months ago

PLEASE HELP!!!

IrinaVladis [17]

44.

The closer it gets to -19, the closer the number goes to 44. It never hits it exactly though, but based off the trend (43.95, 43.995, 43.9995) we can tell that it gets closer to 44 each time.

Hope this helps! (:

8 0

1 year ago

The graph of which function has an axis of symmetry at x=3?​

The graph of which function has an axis of symmetry at x=3?