SOLUTION: I was absent from school the day my class went over this and need help. The question is: Find the equation of the axis of symmetry and the coordinates of the vertex of the grap

Question 139028This question is from textbook Texas Algebra 1
: I was absent from school the day my class went over this and need help. The question is:
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.
Problem 1:
. This question is from textbook Texas Algebra 1

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Not sure why you have the '=0' in there. If it equals zero, then you only have two points -- no graph, no axis of symmetry, and no vertex. Setting your expression equal to zero is how you discover where the graph crosses the x-axis.

.

All parabolas can be expressed like this: . In your case, the values of a, b, and c are , , and .

The x-coordinate of the vertex is found at , which also happens to be the equation of the axis of symmetry. The y-coordinate of the vertex is just the value of the function at the value of the x-coordinate of the vertex, in other words:

(,)

So step 1 is to calculate the value of to get the x-coordinate of the vertex.

Step 2: substitute that value for x in your original function and do the arithmetic. The result is the y-coordinate of the vertex.

Step 3: just write , substituting the value you calculated, to create the equation of the axis of symmetry.
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