Answer:
y =
Step-by-step explanation:
The equation used to find the equation for a line with two intercepts is called point slope form. , where
and
are the intercept points and m is the slope.
However, we need the slope to use this formula.
Use
m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}
y - ( -7 ) = m ( x - ( 4 ) )
y - ( -7 ) = -7/4 ( x - ( 4 ) )
y + 7 = -7/4 ( x + 4 )
y + 7 =
y + 7 =
y + 7 =
y + 7 = - 7
y =
Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
Where r is the radius and h is the height.
Volume of a cube is:
Where a is side length of cube.
It is also written as:
Where l is length, w is width, h is height and .
Volume of a cone is:
Where r is the radius and h is the height.
Volume of a pyramid is:
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder
Cube
Cone
Pyramid
The given function :
Using completing the squares, we have
[∵
]
(1)
Comparing (1) to the standard vertex form , the vertex of function is at (h,k)=(-1,-4)
For x-intercept, put f(x)=0 in (1), we get
Square root on both sides, we get
∴ x intercepts : x= (-3,0) and (1,0)
For y-intercept put x=0 in (1), we get
∴ y intercept : (0,-3)
Axis of symmetry :
In , a=1 and b=2
Axis of symmetry=
