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WORKSHEET 1.4

Graphing Quadratic Functions and Analyzing the Effects on its Graph

Complete the table below and graph the given function y = x^2 + 2x + 3 on the coordinate plane.

Domain

Range

Opening of the parabola

Vertex

Axis of Symmetry

X-Intercept

Y-Intercept

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02:22

Describe the graph of the quadratic function. Identify the vertex and $x$ -intercept(s). Use a graphing utility to verify your results.$f(x)=x^{2}+10 x+14$

02:55

Describe the graph of the quadratic function. Identify the vertex and $x$ -intercept(s). Use a graphing utility to verify your results.$f(x)=-\left(x^{2}+3 x-4\right)$

00:50

Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain,and range.$$x=(y-4)^{2}+2$$

01:44

Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain,and range.$$x=-4 y^{2}-4 y-3$$

02:48

Find the vertex and intercepts for each quadratic function. Sketch the graph, and state the domain and range.$$y=-x^{2}-4 x-3$$

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