Question

For the following, determine the value of the discriminant and hence sketch the parabola using the most efficient approach. Label all intercepts and the vertex.
y=25x^2 −30x+9

Answer 1

Answer:

discriminant(∆) = 0

vertex and intercept labeled on the graph below

NOTE: the x-intercept is the vertex

Step-by-step explanation:

Comparing $y = 25x^{2} - 30x + 9$ with $y = ax^{2} − bx + c$

Thus,

a=25 b = -30 and c = 9

$discriminate (d) = b^{2} - 4ac\\d = (-30)^{2} - 4(25)(9)$

the ' - ' when squared becomes '+'

d = 900 - 900

d = 0

Thus, the value of discriminant(∆) is 0