Question

PLZ HELP ( 35 POINTS)
the directions for both of these problems are shown on the first picture attached
SHOW WORK AND GRAPHS CLEARLY

Answer 1

Answer:

# 14 ; vertex ( 1, 2)

        axis of symmetry x = 1

#15 vertex ( 4, -9)

      axis of symmetry x = 4

Step-by-step explanation:

# 14

f(x) = (x-1)^2 + 2

the vertex is the point on the graph, where the parabola changes direction. or basically the tip of the parabola.  the lowest value of f(x) can be 2, when the x=1

f(x) = (1-1)^2 + 2

f(x) = 0+ 2 = 2

axis of symmetry is verticle line that divides he parabola into asymmetrical parts. that in this case is x=1

# 15

using completing the square you can convert  f(x) = x^2 -8x +7 into vertex form

x^2 - 2X4Xx + 4^2 - 4^2 + 7

f(x) = (x-4)^2  -9

similarly,  the lowest value of f(x) can be -9, when the x=4

vertex (4,-9)

to find more points on the graph you can find the roots and y-intercept

(x-4)^2 -9 = 0

x-4 = $\sqrt{9}$

x= 4+3 or 4-3

x = 7, 1

solutions (7,0) (1,0)

y-intercept

x^2 - 8x + 7 = f(x)

0^2- 8(0) + 7 = f(x)

7 = f(x)

y-intercept ( 0,7)

sketch your graph using these points, like in the image below.

(sorry for the lousy graphing, but hope this helps : )

tell me if i'm the brainliest for this answers!

Answer 2

Tourism boosts the revenue of the economy, creates thousands of jobs, develops the infrastructures of a country, and plants a sense of cultural exchange between foreigners and citizens. The number of jobs created by tourism in many different areas is significant.