The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333
7 squared equals 7 times 7
Answer:
The equation in the point-slope form will be:
Step-by-step explanation:
The point-slope form of an equation is written as:
where m is the slope, and (x₁, y₁) is a point on the line.
Now, we will substitute the values of m and (x1, y1) in the given equation. Here,
m=2
and
(x1, y1) = (5, -8)
x1 = 5
y1 = -8
Therefore, the equation in the point-slope form will be:
The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:
y - 1 = (x + 3)
1 - 1 = -3 + 3
0 = 0.
The other factor that you have to considerate is the slope.
The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).
Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.
Once you know the slope of the parallel line, you can choose the right option.
The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.
Answer:
Step-by-step explanation:
Given
x 2 4 6 8
y 1 2 3 4
Required
Determine the constant of proportionality (k)
The relationship between x and y is:
When y = 1, x = 2;
So, we have:
Make k the subject
Hence, the constant of proportionality is 1/2
