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
The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Hope this helps you out
answer 68
circles are 360⁰ and lines are 180⁰
