Answer:
f(x)= -2(x-8)²+6
Step-by-step explanation:
First graph the points
you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6
so the equation is
to get a we will replace by the coordinates of a point for example (6,-2)
- -2 = a(6-8)²+6
- -2 = a*4+6
- -2-6 = 4a
- -8 = 4a
- a = -2
a is negative wich makes sense since the parabola opens down
Answer:
Step-by-step explanation:
your mom
The constant value of $16 will remain unchanged no matter the coefficient of x being the initial deposit
<h3>Linear equations</h3>
These are equations that has a leading degree of 2. The standard linear equation is expressed as:
y = mx + b
If Lauren wrote the equation y = 3x + 16 to represent the amount of money in a bank account that starts with $16 and increases by $3 each week, the constant value of $16 will remain unchanged no matter the coefficient of x being the initial deposit
Learn more on linear function here: brainly.com/question/15602982
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Answer:
what?
Step-by-step explanation:
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
