The equation of a quadratic function is shown. y = 6x^2 − 2 which statement correctly describes the relationship between the equation and the graph that represents it? a. the coefficient 6 causes the graph to open downward. b. the constant -2 causes the graph to open downward. c. the coefficient 6 causes the graph to open upward. d. the constant -2 causes the graph to open upward.

ANSWER

C. The coefficient 6 causes the graph to open upward

EXPLANATION

The given quadratic function has equation;

The coefficient of

is

Since

The graph of the given function will open upwards.

The correct choice is C.

C. The coefficient 6 causes the graph to open upward.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!