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CLASS 9 · LEARNING KNOWLEDGE

Quadratic functions

How it works

A quadratic function forms a parabola. In vertex form, the vertex and the opening can be seen directly. A negative a opens the parabola downward.

Note
f(x)=a(x−h)²+k; Vertex S(h|k).

An example

For f(x)=4(x−(1))²+(3): Determine f(-1). Give only the requested number.

Difference=-1−(1)=-2. Square, multiply by 4 and add 3. Result: 19.

Try it yourself now

50 Exercises · three difficulty levels · selection and number input

To the learning unit →

Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.