Worksheet Key 1/1/2019 8:06 AM 6.2: Square Root Graphs.

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Presentation transcript:

Worksheet Key 1/1/2019 8:06 AM 6.2: Square Root Graphs

Worksheet Key 1/1/2019 8:06 AM 6.2: Square Root Graphs

Worksheet Key 1/1/2019 8:06 AM 6.2: Square Root Graphs

1/1/2019 8:06 AM 6.2: Square Root Graphs

Square Root Graphs 1/1/2019 8:06 AM 6.2: Square Root Graphs

Review A radical function is a function whose rule is a radical expression, which include the square-root function, 1/1/2019 8:06 AM 6.2: Square Root Graphs

Steps Make a table and plug in solid points OR apply the translations It might be easier to solve for f(x), instead of x Go Backwards Plot and graph points Identify the Domain and Range in Interval Notation 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 1 Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function, g(x) Domain: Range: g(x) translates 4 units right 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 2 Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function, g(x) Domain: g(x) translates 4 units down Range: 1/1/2019 8:06 AM 6.2: Square Root Graphs

Your Turn Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function, g(x) Domain: g(x) translates 5 units left and 5 units down Range: 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 3 Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function, g(x) Domain: g(x) translates 1 units left and stretched by 2 Range: 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 4 The parent function, f(x) = √x, is stretched horizontally by a factor of 2, reflected across the y-axis, and translated 3 units left. 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 5 The parent function, f(x) = √x, is reflected across the x-axis, compressed vertically by a factor of 1/5, and translated 5 units down. 1/1/2019 8:06 AM 6.2: Square Root Graphs

Your Turn The parent function, f(x) = √x, is stretched vertically by a factor of 4 and then translated 5 units left and 2 units down. 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 6 A framing store uses the function to determine the cost c in dollars of glass for a picture with an area a in square inches. The store charges an additional $6.00 in labor to install the glass. Write the function d for the total cost of a piece of glass, including installation, and use it to estimate the total cost of glass for a picture with an area of 144 in2. 1/1/2019 8:06 AM 6.2: Square Root Graphs

Example 6 Step 1 To increase c by 6.00, add 6 to c. A framing store uses the function to determine the cost c in dollars of glass for a picture with an area a in square inches. The store charges an additional $6.00 in labor to install the glass. Write the function d for the total cost of a piece of glass, including installation, and use it to estimate the total cost of glass for a picture with an area of 144 in2. Step 1 To increase c by 6.00, add 6 to c. Step 2 Find a value of d for a picture with an area of 144 in2. The cost for the glass of a picture with an area of 144 in2 is about $12.20 including installation. 1/1/2019 8:06 AM 6.2: Square Root Graphs

Assignment Worksheet 1/1/2019 8:06 AM 6.2: Square Root Graphs