Change Quadratic Relations From Vertex Form To Standard Form Worksheet Page 2
ADVERTISEMENT
1
2
3
42
standard form
4. The quadratic relation y = ax
+ bx + c is in
.
2
vertex form
The relation y = a(x – h)
+ k is in
. Which relations are written in standard
form? Which are written in vertex form?
2
y = 3x
+ x – 6
2
y = -0.5(x – 3)
+ 1
2
y = -2(x +1)
+ 5
2
y = x
– 2x + 2
5. Without graphing, what do you know about a parabola given the relation in standard
form? Use examples to explain.
Example 1
Write Quadratic Relations in Standard Form
− 1
− 2)
− 2)
2
2
2
y
= (
x
+ 3)
y
= (
x
+ 5
y
= 3(
x
+ 1
= −3, vertex at (4, 3)
2
x
a
a
y = 0.25(
+ 4)
+ 4
= 2,
= −1
x
minimum of 5 at
Example 2
Projectile Motion
The path of a toy rocket can be modelled by the relation
= −0.38
2
y
x
bx
c
x
y
+
+
, where
is the horizontal distance and
is the height, both in metres.
The rocket reached its maximum height of 40 m at a horizontal distance of 10 m.
a) Write the relation that models the path of the rocket in vertex form.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education