Question

Construa a tabela a seguir:

a) Y = x² -4x + 5

b) Y = -x² + 2x -1

c) y = x² -5x + 6

d) y = x² -2x + 1

X
-2
-1
0
1
2
3
4

Answer 1

Vamos lá

x = (-2, -1, 0, 1, 2, 3, 4)

a) f(x) = x² - 4x + 5

f(-2) = 2² - 4*(-2) + 5  = 4 + 8 + 5 = 17

f(-1) = 1² - 4*(-1) + 5  = 1 + 4 + 5 = 10

f(0) = 5

f(1) = 1² - 4*1 + 5  = 1 -  4 + 5 = 2

f(2) = 2² - 4*2 + 5  = 4 - 8 + 5 = 1

f(3) = 3² - 4*3 + 5  = 9 - 12  + 5 = 2

f(4) = 4² - 4*4 + 5  = 16 - 16  + 5 = 5

b) f(x) = -x² + 2x - 1

f(-2) = -9

f(-1) = -4

f(0) = -1

f(1) = 0

f(2) = -1

f(3) = -4

f(4) = -9

c) f(x) = x² -5x + 6

f(-2) = 20

f(-1) = 12

f(0) = 6

f(1) = 2

f(2) = 0

f(3) = 0

f(4) = 2

d) f(x) = x² -2x + 1

f(-2) = 9

f(-1) = 4

f(0) = 1

f(1) = 0

f(2) = 1

f(3) = 4

f(4) = 9