Answer:
a. opens: upward
b. a.o.s.: x = 1
c. vertex: (1, -4)
d. x-intercepts: (-1, 0), (3, 0); y-intercept: (0, -3)
Step-by-step explanation:
<h3><u>A:</u></h3>
By looking at the graph, we can see that the parabola opens upward. This means that its a-value is positive.
<h3><u>B:</u></h3>
The axis of symmetry is the line that passes exactly through the center of the parabola. It always starts with x = __, because it is a vertical line.
The center of this parabola is at the x-value of 1, so we can say that the equation of the axis of symmetry is x = 1.
<h3><u>C:</u></h3>
The vertex is at the highest or lowest point of the parabola, also known as the maximum or minimum point. Since this graph opens up, the vertex is at the minimum point.
Look at the graph and find the point where the parabola opens upwards. This point is at the x-value of 1 and the y-value of -4, so the vertex of the parabola is at (1, -4).
<h3><u>D:</u></h3>
Again, look at the graph provided to find the x and y-intercepts. On the x-axis, the parabola crosses through at the x-values of -1 and 3, so the x-intercepts are (-1, 0) and (3, 0).
The parabola crosses the y-axis at the y-value of -3, so the y-intercept of the parabola is (0, -3).
Hey there! I'm happy to help!
In the quadratic formula, the discriminant is square rooted. In this formula you have a ± before this radical. If the discriminant is positive, the solution can be either subtracting or adding the number, so there are 2 real solutions.
If it is 0, subtracting or adding are the same, so there will be just one solution.
You cannot have a negative square root. It is impossible with real numbers, so there are no real solutions.
I hope that this helps! Have a wonderful day! :D
Answer:
1. 0.30
2. 1.20
3. 7.50
Step-by-step explanation:
1. 0.30
2. 1.20
3. 7.50
D. 27
2h+7=61
Subtract 7 from both sides
2h=54
Divide by 2
Answer is 27
5y= -6x+2
5y/5 =-6x/5 +2/5
y = -1.2x +0.4
the slope is -1.2 and y intercept is 0.4
