Answer these and ill give you points Sam and Alex were reviewing equations of parabolas for their upcoming math test. They disagreed on what the equation would look like fora parabola whose vertex was at (3,-4)
a. Help them Write an equation for a parabola that opens upward from its
vertex (3, 4). What is the equation of its line of symmetry? Explain your
reasoning.
b. Sam wants the same parabola to open down and Alex wants it to be
stretched. Show them how to change your original equation to meet both of
their desires. Does the line of symmetry change?
C. Move your parabola from part (b) 8 units to the right and 7 units down and
Compress it vertically so that it is thinner than the original parabola. What
is the equation of its line of symmetry?

answer: its because of life

step-by-step explanation: i dont know

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb