Question

please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min value 6)y-intercept please help I really needed heeeeelp

Answer 1

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.