{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

1

Which equation can be represented by a graph with a vertex at (1,3)?

y=(x-1)^{2}+3

y=(x+1)^{2}+3

y=(x-3)^{2}+1

y=(x+3)^{2}+1

F.IF.7.a

1

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.
Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

F.IF.7.a

1

Match each graph to an equation that represents it.

Draggable item		Corresponding Item
Graph D.		y=-2(x-6)^{2}-5
Graph C.		y=(x-6)^{2}-5
Graph A.		y=6(x-6)^{2}-5
Graph B.		y=-\frac{1}{3}(x-)^{2}-5

F.IF.7.a

1

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.
Select all the statements that describe this situation.

Clare just dropped the rock into the lake.

The maximum height of the rock is about 20 feet.

The rock hits the surface of the water after about 2.1 seconds.

The vertex of the graph is (0.75,29).

The y-intercept of the graph is (2.1,0).

Clare tossed the rock up into the air from a point 20 feet above the water.

F.IF.7.a

1

Andre thinks the vertex of the graph of the equation y=(x+2)^{2}-3 is (2,-3). Lin thinks the vertex is (-2,3). Do you agree with either of them?

F.IF.7.a

1

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/6/16/index.html ; accessed 26/July/2021.

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Lesson 16 - Unit 6 - Algebra 1 - Illustrative Mathematics

Lesson 16 - Unit 6 - Algebra 1 - Illustrative Mathematics

Which equation can be represented by a graph with a vertex at (1,3)?

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.
Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Match each graph to an equation that represents it.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.
Select all the statements that describe this situation.

Andre thinks the vertex of the graph of the equation y=(x+2)^{2}-3 is (2,-3). Lin thinks the vertex is (-2,3). Do you agree with either of them?

Which equation can be represented by a graph with a vertex at (1,3)?

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.
Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Match each graph to an equation that represents it.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.
Select all the statements that describe this situation.

Andre thinks the vertex of the graph of the equation y=(x+2)^{2}-3 is (2,-3). Lin thinks the vertex is (-2,3). Do you agree with either of them?

Lesson 16 - Unit 6 - Algebra 1 - Illustrative Mathematics

Lesson 16 - Unit 6 - Algebra 1 - Illustrative Mathematics

Which equation can be represented by a graph with a vertex at (1,3)?

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Match each graph to an equation that represents it.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.Select all the statements that describe this situation.

Andre thinks the vertex of the graph of the equation y=(x+2)^{2}-3 is (2,-3). Lin thinks the vertex is (-2,3). Do you agree with either of them?

Which equation can be represented by a graph with a vertex at (1,3)?

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Match each graph to an equation that represents it.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.Select all the statements that describe this situation.

Andre thinks the vertex of the graph of the equation y=(x+2)^{2}-3 is (2,-3). Lin thinks the vertex is (-2,3). Do you agree with either of them?

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.
Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.
Select all the statements that describe this situation.

The function v is defined by v(x)=\frac{1}{2}(x+5)^{2}-7.
Without graphing, determine if the vertex of the graph representing shows the minimum or maximum value of the function. Explain how you know.

Clare throws a rock into the lake. The graph shows the rock's height above the water, in feet, as a function of time in seconds.
Select all the statements that describe this situation.