Question

Select the correct answer from each drop-down menu.Find the key features of the quadratic function.f(x) = -x^2 + 2x - 8y-intercept, vertex, the extreme value is a

Answer 1

Step-by-step explanation:

a) We want to get the y-intercept

The y-intercept is simply the value at which the curve crosses the y-axis

From the given plot, we can see that the y-intercept value is at y = -8

b) Vertex

We can get the vertex at the tip of the plot

It is the point at which the cuurve splits into two at the tip.

When we draw a line through the vertex, we can have symmetric sides on the curve

We can see that the vertex here is at the point (1,-7)

c) Extreme value

Here, we want to get the extreme value

The extreme value differs based on the value of a (the leading coefficient which can be inferred from the direction the parabola faces)

As the parabola face downwards, the value of a is negative

So what we have is a maximum value which can be obtained at the vertex

The maximum value here is simply the y-value of the vertex which is -7