Given the function g(x) = (x + 3)^2. Martin says the graph should be translated right 3 units from the parent graph f(x) = x^2. Explain his error.

Martin is not correct. The graph should be translated left 3 units from parent graph.

Given :

The function

Martin says the graph should be translated right 3 units from the parent graph

we know that ,

, the graph will be translated 'a' units right

, the graph will be translated 'a' units left

From the given function g(x), 3 is added with x.

so, the graph of g(x) is translated 3 units left.

Martin is not correct. The graph should be translated left 3 units from parent graph.

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Martin used (x + h)² instead of (x - h)²

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

f(x) = x²

g(x) = (x + 3)²

                ↓      

              h= -3

           Shifted LEFT 3 units

step-by-step explanation:

b and c

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.