Algebra 2

3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point)

A- vertex: (2, –3); axis of symmetry: x = 2

B- vertex: (–2, –3); axis of symmetry: x = –2

C- vertex: (2, 3); axis of symmetry: x = 2

D- vertex: (–2, 3); axis of symmetry: x = –2

4. Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4. (1 point)

A- minimum value: –4
domain: all real numbers
range: all real numbers –4

B- maximum value: 4
domain: all real numbers
range: all real numbers <= 4

C- maximum value: –4
domain: all real numbers <= –4
range: all real numbers

D- minimum value: 4
domain: all real numbers => 4
range: all real numbers

6. Suppose a parabola has vertex (5, –3) and also passes through the point (6, 1). Write the equation of the parabola in vertex form.
(1 point)

y = (x – 5)2 – 3
y = 4(x – 5)2 – 3
y = 4(x + 5)2 – 3
y = 4(x – 5)2 + 3

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