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 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

a

step-by-step explanation: