Write the equation in vertex form using the following information: vertex (4, -6) and a=1. Submit

Step-by-step explanation:

An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)

vertex (4, -6) means  h = 4  and k = - 6

So:

     y = 1(x - 4)² + (-6)

    y = (x - 4)² - 6

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step-by-step explanation:

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.