Answer:
(-1,4) This is the solution for the given system
Step-by-step explanation:
The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)
The other graph is attached as well
The solution for this system is the interception between the graph
Answer:
(18, 25 )
Step-by-step explanation:
The translation rule
(x, y ) → (x + 3, y - 7 )
means add 3 to the original x- coordinate and subtract 7 from the original y- coordinate, then
(15, 32 ) → (15 + 3, 32 - 7 ) → (18, 25 )
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Answer:</h2>
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Step-by-step explanation:</h2>
Since this is a logarithmic function, the domain is . But what is the domain of a function? The domain of a function is the set of inputs. This is so, because for any logarithmic function
, x must be greater than 0. So this function is continuous and has an x-intercept at 
, and y increases as x increases. Finally, its graph is shown below.
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where
(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex
This is also called vertex form because the vertex (h,k) is grouped according to their variable.
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be
y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.
The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1
Answer:
12/4 = L/8
Step-by-step explanation:
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