Math  /  Algebra

QuestionWhat is the minimum value of this function?

Studdy Solution

STEP 1

1. The parabola is a standard quadratic function of the form y=ax2 y = ax^2 .
2. The vertex of the parabola is at the origin, (0,0) (0, 0) .
3. The parabola opens upwards, indicating a>0 a > 0 .

STEP 2

1. Identify the vertex of the parabola.
2. Determine the direction in which the parabola opens.
3. Conclude the minimum value of the function based on the vertex and direction.

STEP 3

The vertex of the parabola is given as (0,0) (0, 0) .

STEP 4

Since the parabola opens upwards, this indicates that the coefficient a a in the quadratic function y=ax2 y = ax^2 is positive.

STEP 5

For a parabola that opens upwards, the vertex represents the minimum point on the graph. Therefore, the minimum value of the function occurs at the vertex.
The minimum value of the function is:
0 \boxed{0}

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