Which answer describes the simpler problems that could be used to solve this story problem? Alice made $1,245 one summer. She sp
1 answer:
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Given the function:
the graph of the function will be as follows:
As shown in the figure:
The domain is the values of x which can be f(x) is valid
As the function contain a square root, so, the root must be greater than or equal to zero
so, the domain will be:
The Y-intercept is the value of y which make x = 0
So, as shown: y-intercept = 0
The x-intercept is the value of x which make y = 0
So, as shown: x-intercept = 0
A standard form of the equation of a rotated parabola is
(y - k)² = 4p(x - h)
where
(h, k) is the location of the vertex.
(h+p, k) is the location of the focus.
The directrix is the line x = h - p
Because the focus is at (-1, 4), therefore
h + p = -1 (1)
k = 4 (2)
Because the directrix is x = 5, therefore
h - p = 5 (3)
Add equations(1) and (3) to obtain
h + p + (h - p) = -1 + 5
2h = 4
h = 2
From (1), obtain
p = -1 - h = -1 - 2 = -3
The equation of the parabola is
(y - 4)² = -12(x - 2)
Answer: (y - 4)² = -12(x - 2)
(y - k)² = 4p(x - h)
where
(h, k) is the location of the vertex.
(h+p, k) is the location of the focus.
The directrix is the line x = h - p
Because the focus is at (-1, 4), therefore
h + p = -1 (1)
k = 4 (2)
Because the directrix is x = 5, therefore
h - p = 5 (3)
Add equations(1) and (3) to obtain
h + p + (h - p) = -1 + 5
2h = 4
h = 2
From (1), obtain
p = -1 - h = -1 - 2 = -3
The equation of the parabola is
(y - 4)² = -12(x - 2)
Answer: (y - 4)² = -12(x - 2)
Answer:
Correct option is D.
Step-by-step explanation:
Given the quadratic equation
we have to define the first step in solving a quadratic equation.
To find the value of x we have make the equation linear i.e taking the square root on both sides as c is any constant.
If c is 0 the we use the zero product rule.
Hence, our first step in solving a quadratic equation of the form
is to take the square root of both sides.
Correct option is D.