Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =

Step-by-step explanation:

vertex form of an equation of the parabola:  

f(x) = a(x - p)² + q

vertex (0, 3)  ⇒  p = 0,  q = 3

so:

   f(x) = a(x - 0)² + 3

    f(x) = ax² + 3

the parabola goes through point (1, -4)  ⇒  x=1,  f(x)=-4

   -4 = a(1)² + 3

   -4 = a + 3

    a = 7

Therefore the equation of the parabola in vertex form:

f(x) = 7x² + 3

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,