Lesson 16 - Unit 6 - Algebra 1 - Illustrative Mathematics - Teerani Sutthiphansakul | Biblioteka

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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

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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

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Match each graph to an equation that represents it.

Stavka koja se može prevući		Odgovarajuća stavka
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

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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

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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

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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.

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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.