Математика18 мин

Graphs of Quadratic Functions

Read everything you need from a parabola: vertex, axis of symmetry, intercepts, direction, width.

Parabola anatomy

Given the vertex $(h, k)$ and one other point, use vertex form $y = a(x-h)^2 + k$ and solve for $a$ .

Build the equation

Parabola has vertex $(1, -4)$ and passes through $(3, 0)$ .

Жауап: $y = (x-1)^2 - 4$

Жаттығу

What is the y-intercept of $y = -2(x-3)^2 + 5$ ?

Жауап пен түсініктемені көру

Жауап: $-13$

Set $x = 0$ : $y = -2 \cdot 9 + 5 = -13$ .