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Exercises: Determining zeros of quadratic functions

Bestimme die Nullstellen der verschobenen Parabeln.

$h_{1} : x \mapsto x^{2} - 64$

For this task you need the following basic knowledge: Nullstellen berechnen
Setze die Funktion gleich $0$ .
$x^{2} - 64$ $=$ $0$ $+ 64$
$x^{2}$ $=$ $64$ $\sqrt{}$
$x$ $=$ $\pm \sqrt{64}$
$\Rightarrow x_{1} = + 8; x_{2} = - 8$
$h_{2} : x \mapsto x^{2} - 2,25$

For this task you need the following basic knowledge: Nullstellen berechnen
Setze die Funktion gleich $0$ .
$x^{2} - 2,25$ $=$ $0$ $+ 2,25$
$x^{2}$ $=$ $2,25$ $\sqrt{}$
$x$ $=$ $\pm \sqrt{2,25}$
$\Rightarrow x_{1} = + 1,5; x_{2} = - 1,5$
$h_{3} : x \mapsto x^{2} + 1$

For this task you need the following basic knowledge: Nullstellen berechnen
Setze die Funktion gleich $0$ .
$x^{2} + 1$ $=$ $0$ $- 1$
$x^{2}$ $=$ $- 1$
Damit gibt es keine Nullstelle.

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