Converting Vertex Form Worksheet
Graph each function. Then, give the transformations from f(x) = x2. Then convert each to standard
form.
Reflection over the xReflection over the x1
2
2
1.
g(x) = -3(x – 2) – 4 axis, translation right
2.
g(x) = - (x – 1) + 4
axis, translation right
4
one and up 4 and a
two and down 4 and a
Transformations:
Transformations:
vertical compression
vertical
stretch
Standard form:
Standard form:
1
y = -3x2 + 12x - 16
3.
1
g(x) = 4 (x + 4)2 + 3
Transformations:
Standard form:
Translation left four
and up three and a
vertical compression
4.
1
g(x) = 4 (x + 5)2 + 2
Transformations:
Standard form:
1
y = 4x2 + 2x + 7
5.
g(x) = -2(x + 5)2 – 3
Transformations:
Standard form:
Reflection over the x6.
axis, translation left
five and down three
and a vertical stretch
y = -2x2 - 20x - 53
1
3
y = - 4x2 + 2x - 34
Translation left five
and up two and a
vertical compression
1
5
1
y = 4x2 + 2x + 84
g(x) = (x + 2)2 – 1
Transformations:
Standard form:
Translation left two
and down one
y = x2 + 4x + 3