Quadratic Transformations Mixed

Front

What is a quadratic function?

Back

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

How does the value of 'a' in a quadratic function affect its graph?

Back

The value of 'a' determines the direction and width of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards. A larger absolute value of 'a' results in a narrower parabola.

Front

What is the effect of adding a constant 'k' to a quadratic function?

Back

Adding a constant 'k' to a quadratic function shifts the graph vertically. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.

Front

What is the effect of replacing 'x' with '(x-h)' in a quadratic function?

Back

Replacing 'x' with '(x-h)' shifts the graph horizontally. If 'h' is positive, the graph shifts to the right; if 'h' is negative, it shifts to the left.

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Back

Front

Back

The graph is shifted 2 units to the left and 5 units down.

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Back

The graph is shifted 2 units to the right and 1 unit up.

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Back

Front

What does vertical stretching of a quadratic function mean?

Back