3 years ago

What is the vertex of the quadratic function f(x)=(x-6)(x+2)?

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

(2, -16).

Step-by-step explanation:

(x - 6)(x + 2)

Convert to vertex form:

Expanding the parentheses we have:

x^2 + 2x - 6x - 12

= x^2 - 4x - 12

Completing the square:

= (x - 2)^2 - 4 - 12

= (x - 2)^2 - 16

So the vertex is (2, -16),

You might be interested in

I need help. I'm confused

Alex

So, it is most likely that Joel runs 7 miles a day. On the x-axis would be the number of days he runs and the y-axis would be the mileage.

4 0

3 years ago

2 4/5 x 3 1/8 proper fraction show work

erastovalidia [21]

Answer:

answer is 8 3/4

the formula is in the picture

hope this picture helps

4 0

3 years ago

Read 2 more answers

Write the phase "3 times the difference of 5 and y equals 4" as a variable expression:

worty [1.4K]

Answer:

3(5-7)=4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

NO LINKS!!

yan [13]

Answer:

$y=-\dfrac{1}{2}(x+4)^2-1$

Step-by-step explanation:

Vertex form: $y=a(x-h)^2+k$

where:

$(h, k)$ is the vertex
$a$ is some constant

Given:

vertex = (-4, -1)
point on parabola = (-2, -3)

Substitute given values into the formula to find $a$ :

$\implies -3=a((-2)-(-4))^2+(-1)$

$\implies -3=a(2)^2-1$

$\implies -3=4a-1$

$\implies -2=4a$

$\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}$

Therefore, the equation of the parabola is:

$y=-\dfrac{1}{2}(x+4)^2-1$

6 0

2 years ago

Read 2 more answers

Solve for x.<br><br> −3x + 2b > 8

RoseWind [281]

I think the answer is
x < (2b -8) / 3
or
x < 2b/3 - 8/3

6 0

3 years ago

Read 2 more answers