Illustrative Math - Algebra 1 - Unit 7 - Lesson 24
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16 Questions
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The graphs that represent a linear function and a quadratic function are shown here.
The quadratic function is defined by 2x^{2}-5x.
Find the coordinates of R without using graphing technology. Show your reasoning.
A.REI.4.a
A.REI.7
F.LE.2
F.IF.8.a
A.REI.4.b
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Diego finds his neighbor's baseball in his yard, about 10 feet away from a five-foot fence. He wants to return the ball to his neighbors, so he tosses the baseball in the direction of the fence.
Function h, defined by h(x)=-0.078x^{2}+0.7x+5.5, gives the height of the ball as a function of the horizontal distance away from Diego.
Does the ball clear the fence? Explain or show your reasoning.
A.REI.4.a
A.REI.7
F.LE.2
F.IF.8.a
A.REI.4.b
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Here are two quadratic functions: f(x)=(x+5)^{2}+\frac{1}{2} and g(x)=(x+5)^{2}+1.
Andre says that both f and g have a minimum value, and that the minimum value of f is less than that of g. Do you agree? Explain your reasoning.
A.REI.4.a
A.REI.7
F.LE.2
F.IF.8.a
A.REI.4.b
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Function p is defined by the equation p(x)=(x+10)^{2}-3.
Function q is represented by this graph.
Which function has the smaller minimum? Explain your reasoning.
A.REI.4.a
A.REI.7
F.LE.2
F.IF.8.a
A.REI.4.b
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Without using graphing technology, sketch a graph that represents each quadratic function. Make sure the x-intercepts, y-intercept, and vertex are plotted accurately.
A.REI.4.a
A.REI.7
F.LE.2
F.IF.8.a
A.REI.4.b
This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 24. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/24/index.html ; accessed 26/July/2021.
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