The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function? Grap
1 answer:
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Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=x-1
Step-by-step explanation:
slope is =
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=x-1
Answer:
1. <em>Axis of symmetry</em>: x = 3
2. <em>Vertex:</em> (3,5)
3. <em>Solution of the equation</em>:
<u />
- x-intercepts:
- y-intercept: (0, -4)
Explanation:
<u>1. Equation:</u>
<u>2. </u><em><u>Axis of symmetry:</u></em>
That is the equation of a parabola, whose standard form is:
Where:
The axis of symmetry is the vertical line with equation:
Substitute
Thus, the axis of symmetry is:
<em><u>3. Vertex</u></em>
<em><u /></em>
The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.
To find the y-xoordinate, substitute this value of x into the equation for y:
Therefore, the vertex is (3, 5)
<u>4. Find the x-intercepts</u>
The x-intercepts are the roots of the equation, which are the points wher y = 0.
Use the quadratic equation:
<u>5. Find the y-intercept</u>
<u />
The y-intercet is the value of y when x=0:
The answer is 1/2
please see the attached picture for full solution
Hope it helps
