Questions: QUESTION 10 Select the words that correctly completes the sentence. - To graph q(x)=x+2, we shift the graph f(x)=x because Down ; 2>0 Up ; 2>0 Down; -2<0 Up ;-2<0

QUESTION 10

Select the words that correctly completes the sentence.
- To graph q(x)=x+2, we shift the graph f(x)=x because
Down ; 2>0
Up ; 2>0
Down; -2<0
Up ;-2<0

Transcript text: QUESTION 10 Select the words that correctly completes the sentence. - To graph $q(x)=x+2$, we shift the graph $f(x)=x$ $\qquad$ because $\qquad$ Down $; 2>0$ Up $; 2>0$ Down; $-2<0$ $U p ;-2<0$

Solution

Solution Steps

Solution Approach

For Question 10, we need to determine how the graph of $ q(x) = x + 2 $ is related to the graph of $ f(x) = x $. The function $ q(x) $ is a vertical shift of $ f(x) $. Since the constant term added to $ x $ is positive (2), the graph of $ f(x) $ is shifted up by 2 units.

For Question 11, we need to convert 79 degrees Fahrenheit to Celsius using the formula $ C = \frac{5}{9} (F - 32) $.

Step 1: Analyze the Graph Shift

To graph $ q(x) = x + 2 $, we recognize that this represents a vertical shift of the graph of $ f(x) = x $. Since the constant term $ +2 $ is positive, the graph of $ f(x) $ is shifted upwards by 2 units.

Step 2: Convert Fahrenheit to Celsius

To convert $ 79^{\circ} \mathrm{F} $ to Celsius, we use the formula: \[ C = \frac{5}{9} (F - 32) \] Substituting $ F = 79 $: \[ C = \frac{5}{9} (79 - 32) = \frac{5}{9} \times 47 = \frac{235}{9} \approx 26.1111 \]