Write the equation of the directrix of the parabola shown below. Write your answer without using spaces. y^2 - 4x + 4y - 4= 0

y = - 3

Step-by-step explanation:

The general form of the equation of a parabola is given by:

with foci (h,k) and directrix equation given by y = k - p.

The parabola equation that you have is

you complete squares to get the general form of the equation:

Next, you compare the last expression with the general for of the equation of a parabola and you obtain:

hence, the directrix equation is y = k - p = - 2 - 1 = - 3

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.