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:
. Now we factor out the -2:
. 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:
. Simplifying gives us this:
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:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
Answer:
the correct answer is 4
Step-by-step explanation:
y = x^2 + x - 5
y = 4^2 + 4 - 5
y= 16 + 4 -5
y = 15
Answer:
12^4 = 20736
Step-by-step explanation:
The property of exponents used to simplify : 12^8/12^4
The division property :
a^x / a^y = a^(x - y)
Therefore ;
12^8/12^4
12^8 / 12^4 = 12^(8 - 4) = 12^4 = 20,736
Number 5 is a unit fraction. Example do Unit fraction 5/6=One six six times or 1/5 five times hope this helps
