I hope this helps you
Consider the graph that represents the following quadratic equation.
1 answer:
Answer:
Part 1) The graphs open downward
Part 2) The vertex is the point (-2,5)
Part 3) The axis of symmetry is x=-2
Step-by-step explanation:
step 1
we have
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex is a maximum
step 2
The quadratic equation is written in vertex form
where
(h,k) is the vertex
so
In this problem
The vertex is the point (-2,5)
step 3
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is -2
therefore
The axis of symmetry is x=-2
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To dea with absolute values you need to apply the definition of absloute value OR get rid of it by squaring both sides of the equality.
Let's try it by using the definition of the absolute value:
So, having that in mind, we must split the initial equation into two.
Then, we end up with two equations:
Both yield the solutions:
So your answer would be the second option
Let's try it by using the definition of the absolute value:
So, having that in mind, we must split the initial equation into two.
Then, we end up with two equations:
Both yield the solutions:
So your answer would be the second option