Quadratic Tables

Quadratic Tables

by Kathleen Light

​What is an x-intercept?

​1. Where the graph crosses the x-axis

​2. Also called a zero, root, and solution

​3. The y-value of the x-intercept is always 0

​4. Find the x-intercepts of the quadratic in the table:

​5. The zeros are (2,0) and (-10,0)

Multiple Choice

What are the Zeros for the function for this table?

• (-2,0), (0,0)

• (0,0)

• (-3,-6), (-1, -6)

• (-1,2)

Multiple Choice

What is the x-intercept for the function for this table?

• (0,2)

• (2,8)

• (-2,0)

• (-6,8)

Multiple Choice

What are the solution(s) for the function for this table?

• (-1,0), (0,-5)

• (-1,0)

• (-3,4)

• (0,-5)

Multiple Choice

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Multiple Choice

Which graph represents a quadratic relation?

Multiple Choice

The graph of a quadratic function is called

• a line

• a hyperbola

• a parabola

• a cubic

​What is a y-intercept?

​1. The y-intercept is where the graph crosses the y-axis

​2. When the graph crosses the y-axis, the x value is always 0

​3. To find the y-intercept, look at the table and see where x = 0

​​4. The y-int is (0,-20)

Multiple Choice

How do you find the y-intercept of a quadratic equation?

• It is the y-value of the vertex.

• It is the x-value of the vertex.

• where y is 0

• where x is 0

Multiple Choice

What is the y-intercept of the table?

• (1,-16)

• (-3,0)

• (0,-15)

• (5,0)

Multiple Choice

What is the y-intercept of the table?

• (0,3)

• (-2,-1)

• (2,-1)

• (1,2)

​What is a vertex?

​1. The vertex is the highest point of a graph

​2. To find it, graph the quadratic in Desmos

​3. Zoom in or out until you see the vertex

​4. Click on the point to get its coordinates

​5. You can also look at the table and see where

​the y-values change from increasing to

​decreasing or vice versa

​6. The vertex is (6,16)

Multiple Choice

$$y=\left(x+3\right)\left(x+5\right)$$  

What is the vertex of the quadratic equation? (hint: look at the table and see where the y changes)

• (-4,-1)

• (-6,3)

• (-3,0)

• (-5,0)

Multiple Choice

What is the vertex of the function given in the table?

• (-2,-1)

• (2,-1)

• (-1,2)

• (0,3)

​What is the axis of symmetry? (AOS)

​1. The axis of symmetry is a vertical line that goes through the vertex, dividing the parabola in half

​2. The AOS goes through the x-value of the vertex

​3. To find the AOS, find the vertex and identify the x-value

​4. The equation will be x=x-value of vertex

Multiple Choice

If the vertex of a given quadratic graph is (-2,4), what is the axis of symmetry?

• x=4

• x= -2

• y=4

• y= -2

Multiple Choice

What is the vertex of the quadratic given in the table?

• (-3,0)

• (5,0)

• (1,-16)

• (3,-12)

Multiple Choice

What is the y-intercept of the given table?

• (-2, 0)

• (2,-16)

• (-3, -6)

• (0,0)

Multiple Choice

What is the vertex of the parabola represented by the given table?

• (-2, 0)

• (-1, 2)

• (-3, -6)

• (0,0)