Question

2x^2 – 7x - 4 = 0(quadratic equation)

Answer 1

Answer:

x=4, x=-1/2

Step-by-step explanation:

https://www.symbolab.com/solver/factor-calculator/factor%202x%5E%7B2%7D%20-%207x%20-%204%20%3D%200

Answer 2

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

X-intercepts:

2x²-7x-4=0

(2x+1)(x-4)=0

2x+1=0 and x-4=0

x=-1/2 and x=4

Axis of Symmetry:

x=-b/2a

x=-(-7)/2(2)

x=7/4

Vertex:

f(x)=2x²-7x-4

f(7/4)=2(7/4)² - 7(7/4) - 4

f(7/4)=2(49/16) - 49/4 - 4

f(7/4)=98/16 - 196/16 - 64/16

f(7/4)=-162/16

(h,k) = (7/4,-81/8)

Refer to graph to see these visually