Here is a table that will help you understand. And the answer.
Answer:
r
Step-by-step explanation:
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Multiply both by -1: 113.75-112=1.75
multiply answer by -1: -1.75
Answer:
x=3
Explanation:
First what you do is move x to one side and the rest of the numbers to another while changing the sign from + to - or - to + like this
6x+4x= 1+-21+50
Then you do the equation on 1 side
6x+4x=30
And then the other but add them like x is not there
10x=30
Your final result should be
X=3