2. g(x) = -(x - 2)^2 + 4
Step 1: Identify and plot the vertex (h, k).
The vertex is ( , ).
Step 2: Identify and plot the axis of symmetry x = h.
The axis of symmetry is x = .
Determine whether the graph opens upwards
(a > 0) or downwards (a <0).
Since a = _ the graph opens _.
Step 4: Make a table of values for g(x) centered on the
vertex (h, k).
x
g(x)
Step 5:
Plot the points from the table and draw a smooth curve through the points.
Step 6:Describe the transformations.

step-by-step explanation:

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step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

6 and 24

step-by-step explanation:

6 x 4 = 24