Question

Pls Help! Btw x = 2 is an incorrect answer!

Answer 1

Answer:

Option (3) x = 1

Step-by-step explanation:

f(x) represents a quadratic function as given in the graph (parabola).

Vertex of the parabola → (-2, -7)

Equation of function represented by the graph will be,

f(x) = (x + 2)² + (-7)

f(x) = (x + 2)² - 7

Option (1) For x = -1,

f(-1) = (-1 + 2)² - 7

     = -6

Another function has been given as,

h(x) = 4ˣ - 3

For x = -1,

h(-1) = 4⁻¹ - 3

      = 0.25 - 3

      = -2.75

Option (2). For x = 0

f(0) = (0 + 2)² - 7

     = 4 - 7

     = -3

h(0) = 4⁰ - 3

      = 1 - 3

      = -2

Option (3). For x = 1,

f(1) = 9 - 7 = 2

h(1) = 4¹ - 3

     = 4 - 3

     = 1

Option (4).For x = 2,

f(2) =  (2 + 2)² - 7

      = 16 - 7

      = 9

h(2) = 4² - 3

      = 16 - 3

      = 13

Therefore, for x = 1, function f(x) has a greater value than function h(x).

Option (3) will be the answer.