51

Step-by-step Answer
 PAGE: 542 SET: Exercises PROBLEM: 51
Please look in your text book for this problem Statement

The function is .

The standard form of quadratic function is .

Find the axis of symmetry.

Formula for the equation of the axis of symmetry is .

(Substitute and in the formula)

.

The equation for the axis of symmetry is .

Find the vertex.

Find the vertex, use the value of equation for the axis of symmetry as the - coordinate of the vertex.

Find the - coordinate.

(Original equation)

(Substitute in the original equation)

The vertex point is .

Determine whether the function has maximum or minimum value.

The value of (Positive), hence the graph of function opens upward and has a minimum value. The vertex is the minimum value.

The minimum value is .

The axis of symmetry divides the parabola into two equal parts.

If there is a point on one side, there is a corresponding point on the other side that is the same distance from the axis of symmetry and has the same - value.

Connect the points with a smooth curve.

.

The equation for the axis of symmetry is .

The vertex point is .

The vertex is the minimum value.

The graph of the function is

.

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