Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A dotted line passes through two points (3, 1) and (-3, -3)
Let the equation of the given line is,
y = mx + b
where 'm' = slope of the line
b = y-intercept
Slope of a line passing through
and
is,
m = 
For the given points,
m = 
m = 
y-intercept 'b' = -1
Therefore, equation of the given line will be,

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)
And the shaded part is below the dotted line,
Inequality will be,
y < 
Therefore, Option (4) will be the answer.
Answer:
y6%cf4yergby65thrbgtrvbh
Step-by-step explanation:
Complete theh square
isolate x terms
factor out coefient of x^2 term
take 1/2 of 1st degree coefient and square it, add positive and negative inside parnthasees, expand
f(x)=(2x^2+12x)+7
f(x)=2(x^2+6x)+7
6/2=3, 3^2=9
f(x)=2(x^2+6x+9-9)+7
f(x)=2((x+3)^2-9)+7
f(x)=2(x+3)^2-19+7
f(x)=2(x+3)^2-12
M = - 7 - 3 / - 2 - 4
m = - 10 / - 6
m = 10/6
m = 5/3
y = 5/3x + c , (4,3)
3 = 5/3(4) + c
12 = 20 + 4c
4c = - 8
c = - 2
y = 5/3x - 2
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