{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given part of the graph of a parabola and, thus, we can mark some points on the graph. We can also draw the axis of symmetry.

To reflect each point on the axis of symmetry, we first find the distance from it to each point.

Point | Distance to the Axis of Symmetry |
---|---|

$(-3,-3)$ | $0$ |

$(-2,-2)$ | $1$ |

$(-1,1)$ | $2$ |

We can use these distances to find each reflection:

- Since the distance from $(-3,-3)$ to $x=-3$ is $0,$ then it is on the axis of symmetry. Therefore, its reflection is the same point — $(-3,-3).$
- The reflection of $(-2,-2)$ has the same $y$-coordinate, and its distance to $x=-3$ is equal to $1.$ It must be point $(-4,-2).$
- The reflection of $(-1,1)$ will also have the same $y$-coordinate, and its distance to $x=-3$ is equal to $2.$ Thus, this point must be $(-5,1).$

We can plot each point and draw the missing part of the parabola.