1 / 10

120 likes | 338 Views

Input. Output. 2 5 -1 6. 3 -2. Domain = -1, 2, 5 & 6 Range = -2 & 3. 7.8 Warm-Up. 2) Graph y = -2x 2 + 3. 1) Identify the domain and range. Objective- Students will learn to graph functions of the form y = a x – h + k and y = a 3 x – h + k. y. y. (1,1). (1,1).

Download Presentation
## 1) Identify the domain and range

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.
Content is provided to you AS IS for your information and personal use only.
Download presentation by click this link.
While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

**Input**Output 2 5 -1 6 3 -2 Domain = -1, 2, 5 & 6 Range = -2 & 3 7.8 Warm-Up 2) Graph y = -2x2 + 3 1) Identify the domain and range**Objective-Students will learn to graph functions of the form**y = a x – h + k and y = a 3 x – h + k. y y (1,1) (1,1) (-1,-1) (0,0) x (0,0) x 7.8 Graphing Square Root and Cube Root Functions Domain: x > 0, Range: y > 0 Domain and range: all real numbers**Example 1**Comparing Two Graphs Describe how to create the graph of y = x + 2 – 4 from the graph of y = x . Solution h = -2 and k = -4 shift the graph to the left 2 units & down 4 units**To graph y = a x - h + k or y = a 3 x - h + k, follow**these steps. STEP uSketch the graph of y = a x or y = a 3 x . Graphs of Radical Functions STEP vShift the graph h units horizontally and k units vertically**Solution**• Sketch the graph of • y = -3 x (dashed). • It begins at the origin and passes through point (1,-3). (1, 3) (0,0) 2) For y = -3 x – 1 + 3, h = 1 & k = 3. Shift both points 1 to the right and 3 up. (2,0) (1,-3) vExample 2 Graphing a Square Root Graph y = -3 x – 1 + 3 .**(2, 1)**(0,0) (3,3) (1,2) Graphing a Square Root Graph y = 2 x – 2 + 1 .**Solution**• Sketch the graph of • y = 2 3 x (dashed). • It passed through the origin & the points • (1, 2) & (-1, -2). (1, 2) (0,0) 2) For y = 2 x + 3 – 4, h = -3 & k = -4. Shift the three points Left 3 and Down 4. (-2,-2) (-1,-2) (-3,-4) (-4,-6) v Example 3 Graphing a Cube Root Graph y = 2 3 x + 3 – 4 .**(1, 3)**(0,0) (3,4) (-1,-3) (2,1) (1,-2) Graphing a Cube Root Graph y = 3 3 x – 2 + 1**7.8 Homework**Pg. 423 # 1 – 23* odd**7.8 Guided Practice**Pg. 423 # 3 – 6 and 18 – 21

More Related