# What are the important points needed to graph #f(x) = -(x-2)(x + 5)#?

This is an instruction/guide to the method needed, No direct values for your equation are given.

There are a few methods that can be applied to identify key points for sketching in this quadratic.

Add the brackets together to get:

By signing up, you agree to our Terms of Service and Privacy Policy

To graph ( f(x) = -(x-2)(x + 5) ), you need to:

- Identify the x-intercepts by setting ( f(x) ) equal to zero and solving for ( x ).
- Determine the y-intercept by evaluating ( f(x) ) when ( x = 0 ).
- Find the vertex using the formula ( \frac{-b}{2a} ) for the x-coordinate and substituting that value into ( f(x) ) to find the y-coordinate.
- Determine the direction of the parabola's opening by observing the coefficient of ( x^2 ) (positive opens upward, negative opens downward).
- Plot the x-intercepts, y-intercept, and vertex on the coordinate plane.
- Sketch the parabola based on the determined direction of opening and the plotted points.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you write #y=x^2+12x+32# into vertex form?
- How do you find the roots, real and imaginary, of #y= 2x^2 -x+(2x- 1 )^2 # using the quadratic formula?
- How do you find the solution to the quadratic equation #- x^3 - x^2 + 21x + 45=0#?
- How do you write a quadratic equation with x-intercepts: -1,2 ; point: (1,4)?
- What is the discriminant and minimum value for #y= 3x^2 - 12x - 36#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7