For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

the graph will always have zero x-intercepts.

the function will always have a minimum.

the y-intercept will always be the vertex.

the axis of symmetry will always be positive

C. The y-intercept will always be the vertex.

Step-by-step explanation:

For the quadratic function, , the coordinates of vertex will be,

If , then the coordinates of vertex will be,

(∵ )

This is the coordinate of the y-intercept, because at y-intercept the x coordinate is 0.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point