The graph of a quadratic function y = ax^2 + bx + c is shown. tell whether the discriminant of ax^2 + bx + c = 0 is positive negative, or zero.

The discriminant is positive

Step-by-step explanation:

The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.

Since parabola has two x-intercepts, then the equation has two different solutions and the discriminant is greater than 0.

it has changed from the width and the height.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.