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levacccp [35]
3 years ago
8

The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point

Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be (h,k)

Another way of representing a quadratic is in "vertex form":

f(x) = a(x-h)^2+k

Now all you have to do is solve for a.  You know that the vertex is (0,2) and you have know the point of (1,8).  Now, all you have to do is plug in these values and solve for a.

8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6

Now you know the equation is f(x) = 6(x-0)^2+2 , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

6x^2+2

You get:

a = 6

b = 0

c = 2

Please mark this as brainliest if it satisfies your question

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Write the product of 7 and a number w as an expression.<br><br> what's the answer?
olga55 [171]
The expression is 7w
3 0
3 years ago
the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i
timama [110]
We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9


case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2, 
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure 

3 0
3 years ago
Please answer this question!!
n200080 [17]
B. 273.18  is the correct answer I think.

6 0
3 years ago
What is this? anyone help​
qwelly [4]

Answer:

-a^2 -a -35

Step-by-step explanation:

a(4-a) -5(a+7)

Distribute

4a -a^2 -5a-35

Combine like terms

-a^2+4a -5a-35

-a^2 -a -35

4 0
3 years ago
Which statement about 6x2 + 7x – 10 is true?
amm1812

Answer:

(x+2)

Step-by-step explanation:

factor out the equation and get

(x+2)(6x-5)

7 0
3 years ago
Read 2 more answers
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