Subjects algebra

Parabola Vertex 8F634B

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Parabola Vertex 8F634B


1. Muammo: Parabolaning uchi $(-1; -4)$ nuqtada joylashgan va $f(x) = ax^2 + bx + c$ tenglama berilgan. $a - b + c$ ni toping. 2. Parabolaning uchi koordinatalari $x_0 = -\frac{b}{2a}$ va $y_0 = f(x_0) = c - \frac{b^2}{4a}$ formulasiga asosan aniqlanadi. 3. Berilgan uch nuqtalar: $x_0 = -1$, $y_0 = -4$. 4. $x_0 = -\frac{b}{2a} = -1 \Rightarrow b = 2a$. 5. $y_0 = c - \frac{b^2}{4a} = -4$. 6. $c - \frac{(2a)^2}{4a} = c - \frac{4a^2}{4a} = c - a = -4 \Rightarrow c = a - 4$. 7. $a - b + c = a - (2a) + (a - 4) = a - 2a + a - 4 = 0 - 4 = -4$. Javob: A) -4