All categories

2 years ago

F(x) = x ^ 2 + 6x - 4 in vertex form

Mathematics

2 answers:

lesya692 [45]2 years ago

7 0

Answer:

f(x) = (x + 3)² - 13

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

Given

f(x) = x² + 6x - 4

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 4

f(x) = (x + 3)² - 13 ← in vertex form

Svetach [21]2 years ago

5 0

Answer:y=(x-6)^2-4

Step-by-step explanation:

You might be interested in

I don’t know how to do this, what’s the area?

Anastaziya [24]

Answer:

Hello!

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

So,you have to multiply.

Hope this helps.

6 0

3 years ago

Write the equation of the line in point-slope form.

HACTEHA [7]

Y-4=2/-3(x-6) I believe that’s the answer hope this helped

4 0

2 years ago

Plz help i'm having troubled understanding how to do this

Lunna [17]

Answer:

1/2 - 2/6 = 1/6

Step-by-step explanation:

to answer two that are different simply take the lesser up or higher down example: 1/2-2/4 this would be zero because 2 x 1/2 = 2/4

8 0

2 years ago

Read 2 more answers

The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

Art [367]

Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ . We will fill in accordingly: $(5-3) ^{2}+(4-2) ^{2} = r^{2}$ . Solve for r to get that $r= \sqrt{8}$

4 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Nataly [62]

Hi there! My Name is Alex! The Answer to your question is listed Below Hope this helps!

Answer:

$y=-\frac{1}{6} x+3\\$

How to Solve For Slope Intercept Form...

The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

8 0

2 years ago