A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
1 answer:
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Answer:
see photo attached for analysis
Answer:
Step-by-step explanation:
This is a parabola since a quadratic is a parabola. The standard form for a parabola is y = ax² + bx + c
but before we do that, we will use the vertex form, since it will make our work easier at the beginning.
First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be
y=-|a|(x - h)² + k
The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front. So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex: x = -7, y = 0, h = -3, k = 4
0 = a(-7 - (-3))² + 4 and
0 = a(-7 + 3)² + 4 and
0 = a(-4)² + 4 and
0 = a(16) + 4 and
0 = 16a + 4 and
-4 = 16a so
Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.
Now we will FOIL out what's inside the parenthesis to get
Simplify by distributing the -1/4 into the parenthesis:
Combine like terms to get
And there you go!
ANSWER
The turning point is
EXPLANATION
The function given to us is
At turning point,
So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,
We equate this to zero to obtain,
We divide through by 3.
We solve for x to get,
We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.
Therefore the turning point is
C is the correct answer.
The turning point is
EXPLANATION
The function given to us is
At turning point,
So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,
We equate this to zero to obtain,
We divide through by 3.
We solve for x to get,
We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.
Therefore the turning point is
C is the correct answer.