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Zeros,Roots or Solutions of Quadratic Functions Using Table and Graph
1.
x

f(x)

-3

5

-2

0

-1

-3

0

-4

1

-3

2

0

3
5
Plot the following points on a coordinate grid.Connect the points to create
a graph.
Scaffolding Questions:
1.What do you know about the point (0,-4) ? What is the vocabulary
associated with this point ?
2.What do you know about the points (-2,0 ) and (2,0 )?
Do you know of another term associated with these points ?
We know that points (-2,0) and (2,0) are called x-intercepts because the
graph crosses the x-axis but mathematically in the context of quadratic
function we call them zeros,roots or solutions of the quadratic function.
X= -2 and x = 2 are zeros because these are the x - values that make the
function f(x) or y equal to zero.
2. Graph the function

using your calculator .

Scaffolding Questions :
1.Does the graph cross the x- axis ?
2. What are the zeros of the quadratic?Verify these zeros using your table
in the calculator.
3. If a quadratic function does not cross the x - axis, is there a solution ?
Zeros

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Zeros

  • 1. Zeros,Roots or Solutions of Quadratic Functions Using Table and Graph 1. x f(x) -3 5 -2 0 -1 -3 0 -4 1 -3 2 0 3 5 Plot the following points on a coordinate grid.Connect the points to create a graph. Scaffolding Questions: 1.What do you know about the point (0,-4) ? What is the vocabulary associated with this point ? 2.What do you know about the points (-2,0 ) and (2,0 )? Do you know of another term associated with these points ? We know that points (-2,0) and (2,0) are called x-intercepts because the graph crosses the x-axis but mathematically in the context of quadratic function we call them zeros,roots or solutions of the quadratic function. X= -2 and x = 2 are zeros because these are the x - values that make the function f(x) or y equal to zero. 2. Graph the function using your calculator . Scaffolding Questions : 1.Does the graph cross the x- axis ? 2. What are the zeros of the quadratic?Verify these zeros using your table in the calculator. 3. If a quadratic function does not cross the x - axis, is there a solution ?