Question

question 2 of 25
how many times does the graph of the function below intersect or touch the
x-axis?
( y = -2x^2 + 3x + 5 )

a. 3
b. 1
c. 0
d. 2

Explanation:

Step1: Set y=0 for x-intercepts

$0 = -2x^2 + 3x + 5$ → $2x^2 - 3x - 5 = 0$

Step2: Calculate discriminant

Discriminant $D = b^2 - 4ac = (-3)^2 - 4(2)(-5) = 9 + 40 = 49$

Step3: Analyze discriminant value

$D=49>0$, so two distinct real roots.

Answer:

D. 2