Vertex Form Of A Quadratic Equation Worksheet With Answers Page 3
ADVERTISEMENT
1
2
3Example 4
Write an Equation Given a Graph
Write an equation for the parabola shown in the graph.
The vertex of the parabola is at (–3, –4), so h = –3 and k = –4. Since
(–1, 2) is a point on the graph of the parabola, let x = –1 and y = 2.
Substitute these values into the vertex form of the equation and solve
for a.
2
y = a(x – h)
+ k
Vertex form
2
2 = a[–1 – (–3)]
+ (–4)
Substitute 2 for y, –1 for x, –3 for h, and –4 for k.
2 = a(4) – 4
Simplify.
6 = 4a
Add 4 to each side.
1.5 = a
Divide each side by 4.
2
The equation of the parabola in vertex form is y = 1.5(x + 3)
– 4.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education