On the blank before each item, Write T if the statement is true and F if it is false. The graph of ƒ(x) = -x² + 3x is concave down.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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On the blank before each item, Write T if the statement is true and F if it is false.
The graph of f (x) = -x² + 3x is concave down.
Any parabola representing a quadratic function has a y-intercept.
3. The vertex of y = (x + 5)² – 3 is (5,3).
4 If the graph of the function y
the equation of the new parabola is y = (x + 2)² + 3.
5. The range of a quadratic function y = (x – 3)² – 1 is {y: y > -3}.
%3D
y = x² is translated three units up and two units right, then
%3D
%3D
%3|
|
Answer the following questions below.
Draw the graph of the quadratic function y = x² + 4x + 3. Determine the vertex, the opening
of the parabola, axis of symmetry, intercepts, domain and range.
2. Graph the function y = (x – 3)² + 4 by transforming the base function y = x?.
Discuss briefly the effects of changing the values of a, h and k in the graph of quadratic
functions.
Transcribed Image Text:On the blank before each item, Write T if the statement is true and F if it is false. The graph of f (x) = -x² + 3x is concave down. Any parabola representing a quadratic function has a y-intercept. 3. The vertex of y = (x + 5)² – 3 is (5,3). 4 If the graph of the function y the equation of the new parabola is y = (x + 2)² + 3. 5. The range of a quadratic function y = (x – 3)² – 1 is {y: y > -3}. %3D y = x² is translated three units up and two units right, then %3D %3D %3| | Answer the following questions below. Draw the graph of the quadratic function y = x² + 4x + 3. Determine the vertex, the opening of the parabola, axis of symmetry, intercepts, domain and range. 2. Graph the function y = (x – 3)² + 4 by transforming the base function y = x?. Discuss briefly the effects of changing the values of a, h and k in the graph of quadratic functions.
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