Question

A graph of a quadratic function is shown below.

Write down the coordinates of
a) the y-intercept.
b) the turning point.
c) the roots of the function.
Y
-1
-3-2-10
--1-
+2+
--3-
--4+
-54
1 2 3 4 5 6 7
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Answer

Answer 1

a) y-intercept is -3

b) turning point(vertex) = (2, -4)

c) roots are x = -2 and x = 6

Explanation:

a) y-intercept is the y-value at which the graph crosses the y-axis. This is the value of y when x = 0 and we can see that the graph crosses the y-axis at y = -3

b) the turning point is the vertex of the graph. In this graph it is the point which is at the minimum of the graph and we can see this is (2, -4)

c) The roots of a quadratic graph are the x-values where the graph crosses the x-axis. At these points, the y-value is 0. From the graph we see that the graph crosses at x= -2 and x = 6