Square function — tasks with solutions

For f ((x) = 3x2+8x-5 give a, b, c and direction of the parabola arms.

For f ((x)=2 ((x-3)2-8, enter the top, symmetry axis and the smallest value.

Select zero spaces f ((x) =-2 ((x+1)) ((x-4).

Solve x2-5x+6=0.

Solve 4x2+4x+1=0.

Set the number of real zeros f ((x) =x2+2x+5.

Select the point and axis of symmetry f ((x) = x2-6x+5.

Save x2+4x-5 in canonical form.

Expand f ((x) =-2 ((x-1)2+8 in general form.

Expand f ((x)=3 ((x-2) ((x+1).

Parabola has W ((2,-3) and passes through (0.5). Set a pattern.

Zero functions are negative 1 and 3, and f ((0) =-6. Set a pattern.

Solve x2-x-6>0.

Solve -x2+4x+5≥0.

Set the smallest and the largest value of f ((x)= ((x-2)2+1 per [0.4].

Select the smallest and largest value of f ((x) =-x2+2x+3 on [-1,3].

Find the intersection points y=x2-2x-3 and y=x-3.

The rectangle has a circumference of 20 cm. Set the dimensions that give the largest field.

The height of the object describes h ((t) = 5t2+20t+1 for t≥0 until the fall. Set the maximum height and time to reach it.

The revenue in the R ((x) = 2x2+80x model for 0≤x≤40 is expressed in zlotys. So what's x the largest, and what's it equal to?

For which m equation x2+ ((m-2) x+1=0 has two different real solutions?

For which k equation x2+kx+9=0 has exactly one real solution?

We have 40 m of fences on three sides of a rectangular runway adjacent to the wall by the fourth side. What dimensions maximize the field?

For which c is the tip of the parabola f ((x) = x2-6x+c on the axis of the OX?