The answer is the first row 12, 24, 48, 96
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
Ok so for this question, you have to draw a graph to help. I'm doing the numbers by 2. You plot the points (21,32) on the graph then after that plot the points by the slope. What I'm trying to say by that is: 1.5 as a fraction is 3/2. so you count from that point by going 3 numbers up (or squares if on a graph if it makes more sense) then count 2 squares to the right and you continue doing that after every point you make (if there's no space to go up the graph the n you can go down by just counting 3 down then counting 2 to the LEFT)
I don't have graph paper on me so I can't really tell you the y-intercept because it might be not accurate (thats the number after the slope or "b" in the formula y=mx+b) How to find that is: when you follow the steps above you're going to hit the y-axis (vetical line) when you have an exact point hitting the y-axis (it should be right on that line ) then that's your number
Equation: y=1.5x+ (insert y-axis number here)
The coordiantes of another point is on the line (u can pick any)
