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Bond [772]
3 years ago
14

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by  

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Ulleksa [173]3 years ago
3 0
I was going to help you with this one but it looks like you got it all covered !!!!
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4 0
3 years ago
Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang
Gennadij [26K]

The bird is 17 feet above the tree.

<u>Explanation:</u>

We need to think of this in terms of right triangles.  If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet.  The height of the tree is the height of the right triangle.  The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird.  Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree.  In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite.  The tangent ratio is height / base.

Let x be the height of the tree.

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tan (25) = \frac{x}{60}

60 tan(25) = x\\\\x = 27.9 feet

x is approximately 28 feet

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<u>For bird</u>

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3 years ago
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