1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anettt [7]
3 years ago
9

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

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

The Standard Form: f(x)=ax^2+bx+c when a, b and c are real numbers and  a must not be 0 (a ≠ 0)

We can convert it in the vertex form which is f(x)=a(x-h)^2+k

f(x)=(x-6)(x+2) Right now, the function takes form of intercepts, we have to convert it to the standard form as we will convert the standard form to vertex.

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

f(x)=(x^2-4x)-12\\f(x)=(x^2-4x+4)-12-4

At this part, we can complete the square inside as we'll get (x-h)^2 and k

f(x)=(x-2)^2-16

The vertex is at (2, -16) [The vertex is at (-h, k) so (-(-2), -16) as we get (2, -16)]

kakasveta [241]3 years ago
4 0

Answer:

X=6,x=-2

Step-by-step explanation:

To solve this question we will have to follow the step by step procedure

(x-6)(x+2)

x^2+2x-6x-12

Let's continue

x^2-4x-12

Let's factorise

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6)(x+2)

so to solve further that is to get the value for x

x-6=0

Add 6 to both sides

x=6

x+2=0

Substrate 2 from both sides

x=-2

Therefore x=6,x=-2

You might be interested in
What is the equation of a line, in point- slope form, that passes through (5, −3)(5, −3) and has a slope of 2323 ? y+5=23(x−3)y+
Marta_Voda [28]
Youyou havehave aa seriousserious doubledouble pastepaste problemproblem

the equation of the line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given

the point is (5,-3) and the slope is 23 (or it could be 2/3)
x1=5
y1=-3
y-(-3)=23(x-5)
y+3=23(x-5) is answer
7 0
3 years ago
Read 2 more answers
Suzanne bakes 350 cookies in 5 hours, and cole bakes 400 cookies in 8 hours Part A: what are the unit rates at which suzanne and
mrs_skeptik [129]

Answer:

Part A: Suzanne bakes 350 in 5 hours and cole bakes 400 in 8 hours. Part B: cole can bake more then suzanne but Suzanne has more time to bake more, so i think suzanne bakes at a faster rate then cole

4 0
3 years ago
HELP PLEASE
Maurinko [17]
\bf \cfrac{x^2-x-42}{x-6}\implies \cfrac{(x+7)\underline{(x-6)}}{\underline{x-6}}\implies x+7

so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get    \bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}

so, even though the siimplification is correct, the rational or original expression is constrained in its domain.
6 0
3 years ago
20 POINTS IF ANSWERED CORRECTLY AND BRAINLIEST PLEASE HELP ME (07.06 LC)
chubhunter [2.5K]
3.5z=2.25z-4.25+6.25
1.25z=2
z=1.6. As a result, this equation have one solution. Hope it help!
6 0
3 years ago
Read 2 more answers
Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one
slavikrds [6]

Answer:

One person is pushing the car in the net force of 200N

Step-by-step explanation:

600 divided by 3 (600 N in total, and 3 person pushing.)

5 0
2 years ago
Other questions:
  • 7th grade math I-ready
    9·2 answers
  • The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) Write the formula of t
    14·1 answer
  • Is -4 1/5 less than. greater than or equal to -4 9/10
    10·2 answers
  • P=52 degrees and mQ=(3x+2) degrees
    10·1 answer
  • (Picture) MULTIPLYING MONOMIALS AND BINOMIALS
    12·1 answer
  • Write the wod sentence as an equations. you don't need to solve it.
    6·1 answer
  • What is 4/5 as a decimal and what is 4/5 as a percent representation
    14·2 answers
  • Find the value if k(2,3)is a point on graph of the equation x - ky +8= 0​
    5·2 answers
  • Cómo resuelvo estás ecuaciones<br>6×-5y=-3<br>3×+2y=12​
    8·1 answer
  • What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!