What’s 94 divided by 33
2 answers:
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Using a graphing calculator, we can see the graph of the function y = x²-4x+1:
as we can see, the vertex of the function is (2,-3), and the solutions are (0.3,0) and (3.7,0)
Answer:
If the line is parallel to the x-axis than only x value changes and y value remains constant.
Step-by-step explanation:
Consider the provided information.
We need to draw three lines that are parallel to the x-axis.
The required graph is shown below:
Now the ordered pairs for points on each line is:
For line y=-3 The ordered pairs are (-1,-3), (0,-3) and (1,-3)
For line y=2 The ordered pairs are (-2,2), (2,2) and (3,2)
For line y=4 The ordered pairs are (-3,4), (0,4) and (4,4)
Here we can observe the x value changes but y values remains constant.
Therefore, if the line is parallel to the x-axis than only x value changes and y value remains constant.
Answer:
The zeros are x = -1 and x = 8
The vertex is (3.5, -20.25)
Step-by-step explanation:
When we have a quadratic equation like:
y = a*x^2 + b*x + c
The zeros of the function are the values of x such that:
a*x^2 + b*x + c = 0
And the solutions are given by the Bhaskara's equation, which is:
And the vertex is at:
x = -b/2a
The y-value at the vertex is the function evaluated in that point.
In this case, we have the equation:
h(x) = x^2 - 7*x - 8
Then:
a = 1
b = -7
c= -8
Replacing these in the Bhaskara's equation we get:
Then the two solutions are:
x = (7 - 9)/2 = -2/2 = -1 (this is the smaller one)
and
x = (7 + 9)/2 = 16/2 = 8 (this is the larger one)
And we will have the vertex at:
x = -(-7)/2*1 = 7/2 = 3.5
Evaluating h(x) in 3.5 we get:
h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25
Then the vertex is the point:
(3.5, -20.25)