4. Given a quadratic function f(x) = x² + 6x + 8, (i) find the x-intercept(s) and the y-intercept of the graph of the function. (ii) find the standard form (i.e., the vertex form) of the function. (iii) find the vertex of the graph of the function. (iv) find the increasing interval (s) of the function. (v) find the decreasing interval(s) of the function. (vi) sketch the graph of the function; label the coordinates of the intercepts and the vertex on the graph.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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4. Given a quadratic function f(x)= x² + 6x + 8,
(i) find the x-intercept (s) and the y-intercept of the graph of the
function.
(ii) find the standard form (i.e., the vertex form) of the function.
(iii) find the vertex of the graph of the function.
(iv) find the increasing interval(s) of the function.
(v) find the decreasing interval(s) of the function.
(vi) sketch the graph of the function; label the coordinates of the
intercepts and the vertex on the graph.
Transcribed Image Text:4. Given a quadratic function f(x)= x² + 6x + 8, (i) find the x-intercept (s) and the y-intercept of the graph of the function. (ii) find the standard form (i.e., the vertex form) of the function. (iii) find the vertex of the graph of the function. (iv) find the increasing interval(s) of the function. (v) find the decreasing interval(s) of the function. (vi) sketch the graph of the function; label the coordinates of the intercepts and the vertex on the graph.
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