Quadratic Equations In Vertex Form - Education Ti Page 2
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1
2The value of h and k
h
k
The values of
and
in the vertex form of a quadratic equation tell us the vertex of
h
k
the parabola. The value of
tells us the x-value of the vertex. The value of
tells us
the y-value of the vertex. Graph the following four equations on your calculator and find
the vertex of each parabola.
1.
y = 2(x – 4)² + 3
vertex____________________
2.
y = -1/2(x + 2)² +1
vertex____________________
3.
y = -3(x – 1)² - 2
vertex____________________
4.
y = -1/4(x + 3)² - 5
vertex____________________
Checking for Understanding
We have now looked at how to determine the direction, width, and vertex of a parabola
by looking at the vertex form of its quadratic equation. So, without using your calculator,
give some information about each of the following equations compared to the parent
function.
1.
y = 2(x – 3)² - 8
Wider or narrower?_____________
Upward or downward?____________
Vertex____________
2.
y = -1/3(x + 1)² -1
Wider or narrower?______________
Upward or downward?____________
Vertex____________
3.
y = -4(x – 2)² + 5
Wider or narrower?______________
Upward or downward?____________
Vertex____________
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