7 57 6 TRANSLATING PARABOLAS Identify the effect

7. 5/7. 6 TRANSLATING PARABOLAS Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

FINDING THE VERTEX OF A PARABOLA equation standard form vertex

TRANSLATING A PARABOLA vertex form : the graph of translated h units horizontally and k units vertically h k positive right up negative left down vertex: axis of symmetry:

EX 1 State how each graph is a transformation of f(x)=x 2.

EX 2 axis of symmetr y vertex x-int y-int max/min value domain range Graph. Find the vertex, axis of symmetry, y-intercept, maximum or minimum, the domain and range.

EX 3 Write the equation in vertex form of the given parabola.

EX 4 Convert your answer from Ex 3 to standard form.

EX 5 Compare the two equations. What do they have in common? What is easier to determine from the equation in vertex form and the one in standard form? standard form vertex form

EX 6 Convert the equation to vertex form.

EX 7 Write the equation of the parabola in vertex form.

EDMODO DISCUSSION QUESTION: EX 8 Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.