To compute the vertex, the equation of the axis of symmetry and the y-intercept of the given function.
Answer to Problem 38PPS
Vertex is
Explanation of Solution
Given information :
The function provided is
Formula used :
Formula to compute equation of the axis of symmetry
To compute the vertex, use the value of x found in the axis of symmetry to compute the value of y.
For finding the y-intercept, substitute the value of x in the function with 0 and compute the value of y . y -intercept is always given by the notion (0,y) .
Calculation :
Axis of symmetry for the given function is
Formula for axis of symmetry.
Putting the values of ‘a’ and ‘b’ .
Simplifying
Vertex can be found out by putting the value of x computed in the axis of symmetry in the original function. This will give a value of y . These two coordinates of x and y would be the point where the vertex is.
Putting the value of
Simplifying the expression.
Thus the vertex is
y-intercept is computed by substituting the value of x in the equation by 0.
Simplifying
Hence the point of y-intercept is
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