QUESTION 1
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
[tex]x=0,x=-4[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=-2[/tex]
c) The maximum value is the y-value of the vertex.
Max: y=4
d) The vertex is the maximum point on the graph.
Vertex: (-2,4).
QUESTION 2
a) The graph touches the x-axis at only one point.
From the graph, the zero is [tex]x=-2[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=-2[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (-2,0).
QUESTION 3
a) The graph touches the x-axis at two points.
From the graph, the zeros are [tex]x=-3,x=3[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=0[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=-9
d) The vertex is the minimum point on the graph.
Vertex: (0,-9).
QUESTION 4
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
[tex]x=-3,x=-5[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=-4[/tex]
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-4,1).
QUESTION 5
a) The graph touches the x-axis at two points.
From the graph, the zeros are [tex]x=3,x=7[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=5[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (5,-4).
QUESTION 6
a) The graph does not touch the x-axis.
The function has no real zeros.
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=2[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=5
d) The vertex is the minimum point on the graph.
Vertex: (2,5).
QUESTION 7
a) The graph touches the x-axis two points.
The function has zeros at x=1 and x=5
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=3[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (3,-4).
QUESTION 8
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
[tex]x=0,x=-2[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=-1[/tex]
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-1,1).
QUESTION 9
a) The graph touches the x-axis at only one point.
From the graph, the zero is [tex]x=5[/tex]
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
[tex]x=5[/tex]
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (5,0).
