Simplify the following expression: 7y + 2x − 10y + 3x2 − 10x
1 answer:
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Answer:
Step-by-step explanation:
To find the intercept with the x axis, we make h (x) = 0.
0 = (x + 1) ^ 2 - 4
0 = x ^ 2 + 2x + 1 -4
0 = x ^ 2 + 2x - 3
0 = (x +3) (x-1)
x = 1
x = -3
To find the intercept with the y axis, we make x = 0.
y = (0+1)^2 -4
y = -3
For a quadratic equation of the form ax ^2 + bx+ c
The vertex is calculated with the formula x = -b/2a
So:
x = -2/2(1)
x = -1
Finally the axis of symmetry of a quadratic function always passes through the vertex.
So:
x = -1
Below is a graph for this function, where you can see the cut points with the axes, the vertex and axis of symmetry
Answer:
26.5 units
Step-by-step explanation:
The height of the ball at any time t is given by :
...(1)
We need to find the maximum height of the ball.
For maximum height, put
i.e.
Put t = 1.25 in equation (1) to find the maximum height.
So,
So, the maximum height reached by the ball is 26.5 units.