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Algebra B Unit 5 Part 2 Review 1 Name ______________________________________________ LT 5.6 Given a quadratic equation, I can complete a table of values, draw the graph, identify the domain, range, intercepts, vertex, and axis of symmetry. For problems #1 and #2: complete the table, state the coordinates of the vertex, x-intercepts, and yintercept, write the equation for the axis of symmetry, state the domain and range, and draw the graph. #1 y x 2 6x 8 x 0 1 2 3 4 5 6 y Vertex _____________________ Axis of symmetry _____________ x-intercepts ___________________ y-intercept ____________________ Domain _______________________ Range ________________________ #2 y x 2 4 x 12 x -3 -2 -1 0 1 2 3 4 5 y Vertex _____________________ Axis of symmetry _____________ x-intercepts ___________________ y-intercept ____________________ Domain _______________________ Range ________________________ Algebra B Unit 5 Part 2 Review 2 LT 5.8 I can graph a quadratic function by finding the vertex, x-intercepts, y-intercept and axis of symmetry. For problems #3 and #4: calculate the x-intercept and vertex and state their coordinates, state the coordinates of the y-intercept and the equation for the axis of symmetry, state the domain and range, and draw the graph. #3 y x 2 2x 6 a) Find the vertex. ___________ b) axis of symmetry __________ (show work) c) x-intercepts _________ __________ (show work) d) y-intercept __________ e) domain ______________ range _______________ y x 2 2x 8 #4 a) Find the vertex. ___________ (show work) b) axis of symmetry __________ c) x-intercepts _________ __________ (show work) d) y-intercept __________ e) domain ______________ range _______________ Algebra B Unit 5 Part 2 Review 3 LT 5.7 I can determine if a table of values represents a linear, exponential, or quadratic function and make predictions of other values. For each of the following, determine if the table represents a linear, exponential or quadratic function and fill in the missing values. #5 ___________ x 1 2 3 4 5 6 y 7 2 -3 -8 #6 ___________ x 1 2 3 4 5 6 y -1 -4 -11 -22 Quadratic Formula: If ax2 +bx + c = 0 and a≠0 then #7 __________ x 1 2 3 4 5 6 #8 __________ x 1 2 3 4 5 6 y 9 15 23 33 for y = ax2 + bx + c Axis of symmetry −𝒃±√𝒃𝟐 −𝟒𝒂𝒄 x= 𝟐𝒂 discriminant: b2 – 4ac y 14 7 3.5 1.75 Vertex (x, y) 𝒙= −𝒃 𝟐𝒂