Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 146
d opens doicn-ivard, i.e. is concave doicmvard (Fig. 53). Draw the following parabolas: Fig. 52 Fig. oo y = a2, y = 3 .t^, y = - :^ x, y = \ x^. 133. The General Equation. The curve represented by themore general equation (2) y = ax- + bx -\- c differs from the parabola y = ax^ only in position. To… … Fig. 54 7j — I = a (./ — /^) -, and it is clear (§ 13) that, with reference to parallel axesO^x^, Oiyi through the point 0^ {h. Jt) the equation of thecurve is ^1 = ax{- (Fig. 51). The parabola (2) has thereforethe same shape as the parabola y = «./;-; but its vertex lies atthe point (h, k), and…
Geometry, Analytic
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