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
That sequence is not geometric or arithmetic
it is not changing or doing anything it is just remaining the same.
it would be geometric if it was:
1+1-1+1-1+1........
Answer:
To check if a given value is a solution to an equation:
Evaluate the left-hand side expression at the given value to get a number.
Evaluate the right-hand side expression at the given value to get a number.
See if the numbers match.
Answer:
m=y/x
Step-by-step explanation:
