Help can’t figure it out. It’s quadratic function

a < -1

Step-by-step explanation:

    The question is asking what coefficient a could possibly be. By comparing the blue and red parabolas, it can be observed that the red parabola has been flipped and vertically stretched. Let's break this down.

    First, in order for the red parabola to mirror the blue parabola, it needs the opposite sign. The blue parabola's coefficient is positive. In order to mirror this, the red parabola's coefficient will need to be negative.

    Lastly, the red parabola has been stretched. In order for the red parabola to stretch, its coefficient has to be greater than 1.

    In conclusion, the red parabola needs to be negative and have a value greater than 1. Therefore, the answer is a < -1.

c

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough