Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
Answer:
sales tax is 11.89745 round if u want
Step-by-step explanation:
i just added 8.5 percent
Answer:
35° (I may be wrong)
Step-by-step explanation:
An isosceles triangle has an interior angle sum of 180° (like all triangles).
So...
180°-40°= 140°
And because we know that isoceles triangles and two congruent sides, we just have to divide 140° by 2.
140°÷2=70°
But the picture says 2h and h is a side so...
70°÷2=35°
Who here is able to lift 2,500 pounds?
Answer:
you are correct
Step-by-step explanation:
you are correct
