Day 36 Review for TEST 1-2 (alg2)

narrowest graph?

• A

• B

• C

• D

find the min or max of y = x^2 - 2x + 2

• A

• B

• C

• D

What are the transformations of the function?

• Reflection across the y-axis and vertical shift of 5 units up.

• Reflection across the x-axis and horizontal shift of 5 units to the left.

• Reflection across the x-axis and horizontal shift of 5 units to the right.

• Reflection across the y=axis and vertical shift of 5 units down. 

which function represents the data?

• a

• b

• c

• d

what is the vertex of the parabola in the graph?

• a

• b

• c

• d

Select all the statements that are true for y = - (x - 3)^2 + 4
(select THREE)

• The vertex is (3,4)

• The maximum value is 3

• The function is increasing on (-infinity, 3)

• the axis of symmetry is x=3

• the function is decreasing on (-infinity, 4)

Remember to find our regression line, line of best fit, we use technology like Desmos' Graphing Calculator.

Steps for Desmos:

1) Enter the table of points

2) In spot #2 type:  y₁∼a(x₁−h)²+k             

• remember Desmos will automatically format the 1's to be subscripts

• remember this is our generic quadratic just we are identifying that we want the calculator to use the x and y from the table of step 1.

3) Desmos generates the line and tells you:

r² = how close your data was to this line 

(close to +1 or -1 is strong (i.e. good); close to 0 is weak)    

a = the a for your equation

h = the h for your equation

k = the k for your equation

4) Write the parabola's equation down using those values and use it to make predictions.

• 19000

• 18000

• 14000

• 11000

choose all the statements(s) that correctly describe the graph:
(select TWO)

• The graph is a parabola that opens down. 

• The minimum value of the function is -20

• The axis of symmetry is the line x= -4

• The axis of symmetry is the line x = 4

• The graph is a parabola that opens up

what is the max height?

• 3 yards

• 6 yards

• 30 yards

• 35 yards

standard to vertex form, what would k be?

• 16

• -16

• -25

• 9