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lara31 [8.8K]
3 years ago
12

HELP PLEASE!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Doss [256]3 years ago
6 0
I can not see the answer or the question
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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

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

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
Three times the smallest of three consecutive integers is six less than the largest. Find rhe numbers.
docker41 [41]

Let the numbers be x , x+1 and x+2

Then:-

3x  = x + 2 - 6

3x - x = -4

2x = -4

x = -2

So the 3 integers are -2, -1 and 0. answer

5 0
3 years ago
Why will the percent of change always be represented by a positive number
Colt1911 [192]
Because if it is a decrease in change, it will be told as a "fall" in change ;')

6 0
3 years ago
If a = -2, b = -6, c = -4, and d = -3, evaluate the following expressions.
abruzzese [7]
It’s Has to be B because if you had the negative numbers you get -12
6 0
3 years ago
Find the area and perimeter of a rectangle if<br> the length is 25 and the width is 8.
g100num [7]

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

3 0
3 years ago
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