(a) We see that the parabola opens upward.
(b) The axis of symmetry is the axis that divides the parabola into two equal parts. We see that the axis of symmetry is a vertical line with x = 1.
(c) The vertex of a parabola is a point at which the parabola makes its sharpest turn. We see that the vertex of the parabola is the point (1, -4).
(d) The intercepts of a curve are the points where the curve intercepts the coordinate axis. We see that the intercepts of the parabola are:
• x-intercept (when y = 0): ,(-1, 0), (3, 0).
,
• y-intercept (when x = 0): ,(0, -3).
Answers
(a) upward
(b) x = 1
(c) (1, -4)
(d)
• x-intercept: (-1, 0), (3, 0)
,
• y-intercept: (0, -3)