example 1\ndescribe the translation in each function as it relates to the\n graph of the parent function.\n…

example 1\ndescribe the translation in each function as it relates to the\n graph of the parent function.\n a. ( g(x)=x - 2 )\n ( g(x)=f(x)-2 )\n i take the parent function and move it _ units _.\n b. ( p(x)=(x + 5) )\n ( p(x)=f(x + 5) )\n i take the parent function and move it _ units _.\nexample 1 check\ndescribe the translation in each function as it relates to the\n graph of the parent function.\n a. ( g(x)=x + 12 )\n i take the parent function and move it _ units _.\n b. ( h(x)=(x - 4) )\n i take the parent function and move it _ units _.

example 1\ndescribe the translation in each function as it relates to the\n graph of the parent function.\n a. ( g(x)=x - 2 )\n ( g(x)=f(x)-2 )\n i take the parent function and move it _ units _.\n b. ( p(x)=(x + 5) )\n ( p(x)=f(x + 5) )\n i take the parent function and move it _ units _.\nexample 1 check\ndescribe the translation in each function as it relates to the\n graph of the parent function.\n a. ( g(x)=x + 12 )\n i take the parent function and move it _ units _.\n b. ( h(x)=(x - 4) )\n i take the parent function and move it _ units _.

Answer

Explanation:

Step1: Recall function translation rules

For a function (y = f(x)), (y=f(x)+k) is a vertical translation (up if (k>0), down if (k < 0)), and (y = f(x - h)) is a horizontal translation (right if (h>0), left if (h<0)).

For Example 1:

Part a:

The parent function is (y = x) (assuming (f(x)=x)). Given (g(x)=x - 2=f(x)-2). According to the rule (y = f(x)+k) ((k=- 2)), we take the parent function and move it (2) units down.

Part b:

Given (p(x)=(x + 5)=f(x + 5)) (assuming (f(x)=x)). According to the rule (y=f(x - h)) ((h=-5)), we take the parent function and move it (5) units left.

For Example 1 Check:

Part a:

Given (g(x)=x + 12=f(x)+12) (assuming (f(x)=x)). According to the rule (y = f(x)+k) ((k = 12)), we take the parent function and move it (12) units up.

Part b:

Given (h(x)=(x - 4)=f(x - 4)) (assuming (f(x)=x)). According to the rule (y=f(x - h)) ((h = 4)), we take the parent function and move it (4) units right.

Answer:

Example 1: a. (2) units down b. (5) units left Example 1 Check: a. (12) units up b. (4) units right