What attributes of the representative model of the parabola can be determined from the standard form

Vertex (h,k)

X intercepts and Y intercepts

Focus

Axis of symmetry

Maximum or minimum value

Step-by-step explanation:

The general form for a parabola or a quadratic function is given by:

Where a,b and c are real numbers with .

Some features that we can identify from the standard form are:

If  the parabola opena upward.

If the parabola open downwards.

We can find the axis of symmetry . And is defined as

The x intercepts are given by:

We can find the x intercept with the following formula:

And for the y intercept we just need to use x=0 and we got

And for the y intercept we just need to replace the x intercept into the equation like this:

From the standard from we can also find the domain and range. The minimum or maximum value. And we can also find the focus.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the answer is a

step-by-step explanation: