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Graphing Parabolas Using a Table of Values>
Graphing Parabolas Using a Table of ValuesGraphing Parabolas Using a Table of Values
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Question 1 of 6
1. Question
Graph `y=x^2` using a table of values.Hint
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Well Done!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` Substitute `x=-3` into the given equation.`y` `=` `(``-3``)^2` Substitute the value of `x` `=` `9` Simplify `y` `=` `9` `x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `9` Substitute the rest of the values of `x` into the given equation.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `9` `4` `1` `0` `1` `4` `9` Plot the coordinates starting with `(``-3``,``9``)`.
Draw a parabola using the points.
`y=x^2`
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Question 2 of 6
2. Question
Graph `y=2x^2` using a table of values.Hint
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Nice Job!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` Substitute `x=-3` into the given equation.`y` `=` `2(``-3``)^2` Substitute the value of `x` `=` `2(9)` `=` `18` Simplify `y` `=` `18` `x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `18` Substitute the rest of the values of `x` into the given equation.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `18` `8` `2` `0` `2` `8` `18` Plot the coordinates starting with `(``-3``,``18``)`.
Draw a parabola using the points.
`y=2x^2`
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Question 3 of 6
3. Question
Graph `y=4x^2` using a table of values.Hint
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Excellent!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-2` `-1` `-1/2` `0` `1/2` `1` `2` `y` Substitute `x=-2` into the given equation.`y` `=` `4(``-2``)^2` Substitute the value of `x` `=` `4(4)` `=` `16` Simplify `y` `=` `16` `x` `-2` `-1` `-1/2` `0` `1/2` `1` `2` `y` `16` Substitute the rest of the values of `x` into the given equation.`x` `-2` `-1` `-1/2` `0` `1/2` `1` `2` `y` `16` `4` `1` `0` `1` `4` `16` Plot the coordinates starting with `(``-2``,``16``)`.
Draw a parabola using the points.
`y=4x^2`
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Question 4 of 6
4. Question
Graph `y=x^2+6` using a table of values.Hint
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Fantastic!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` Substitute `x=-3` into the given equation.`y` `=` `(``x``)^2+6` `y` `=` `(``-3``)^2+6` Substitute the value of `x` `=` `9+6` `=` `15` Simplify `y` `=` `15` `x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `15` Substitute the rest of the values of `x` into the given equation.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `15` `10` `7` `6` `7` `10` `15` Plot the coordinates starting with `(``-3``,``15``)`.
Draw a parabola using the points.
`y=x^2+6`
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Question 5 of 6
5. Question
Graph `y=-2x^2` using a table of values.Hint
Help VideoCorrect
Keep Going!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` Substitute `x=-3` into the given equation.`y` `=` `-2(``-3``)^2` Substitute the value of `x` `=` `-2(9)` `=` `-18` Simplify `y` `=` `-18` `x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `-18` Substitute the rest of the values of `x` into the given equation.`x` `-3` `-2` `-1` `0` `1` `2` `3` `y` `-18` `-8` `-2` `0` `-2` `-8` `-18` Plot the coordinates starting with `(``-3``,``-18``)`.
Draw a parabola using the points.
`y=-2x^2`
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Question 6 of 6
6. Question
Graph `y=x^2-x-6` using a table of values.Hint
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Correct!
Incorrect
A table of values can be used to find the ordered pairs `(``x``,``y``)` of points on the parabola.Start by working out the `\text(y-values)` for each `\text(x-value)` in the table of values.`x` `-3` `-2` `-1` `0` `1` `2` `3` `4` `y` Substitute `x=-3` into the given equation.`y` `=` `(``x``)^2 -``x``-6` `y` `=` `(``-3``)^2 -(``-3``)-6` Substitute the value of `x` `=` `9+3-6` `=` `6` Simplify `y` `=` `6` `x` `-3` `-2` `-1` `0` `1` `2` `3` `4` `y` `6` Substitute the rest of the values of `x` into the given equation.`x` `-3` `-2` `-1` `0` `1` `2` `3` `4` `y` `6` `0` `-4` `-6` `-6` `-4` `0` `6` Plot the coordinates starting with `(``-3``,``6``)`.
Draw a parabola using the points.
`y=x^2-x-6`
Quizzes
- Intro to Parabolas 1
- Intro to Parabolas 2
- Intro to Parabolas 3
- Graphing Parabolas Using a Table of Values
- Graph Parabolas in Standard Form 1
- Graph Parabolas in Standard Form 2
- Graph Parabolas by Completing the Square
- Graph Parabolas in Vertex Form
- Write a Parabola from the Graph
- Write a Parabola Given the Vertex and Another Point