Solutions to x^=-11x+4
1 answer:
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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;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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.
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.
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;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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).
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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.
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.
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;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
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).