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English 17 Public

QUADRATIC FUNCTION

Study Slideshow

What is the value of a, b, and c of : f(x) = -x^2+3x-4

a = -1, b = 3,c = -4

When a>0, so the graph of the function will have .... point.

minimum

When a<0, so the graph of the function will have .... point

maximum

From the graph, we know that the quadratic function has ... (value of a and D)

a > 0 (because the graph has a minimum point), D < 0 (because there is no x - intercept)

True or False: The value of a in the given graph is greater than 0 and the d > 0.

True

What is the discriminant based on the given graph?

d = 0

what is the formula to find the discriminant of a quadratic function?

d = b^2 - 4ac

What is the value that affects the opening of the graph?

True or False: The function f(x) = x+5 is a quadratic function.

False

What is the constant in the given function: f(x) = -x^2 + 7x - 10?

-10

True or False: The axis of symmetry is a line that passes through the vertex of the parabola and making two symmetrical shapes.

True

True or False: Smaller values of a will make the parabola narrower.

False

What is the vertex of the function?

(3,1)

How many roots are there in the function f(x) = -x^2-6x - 9?

One real root

Solve for the discriminant f(x) = x^2 +5x + 2.

Solve for the discriminant 5b^2 + b - 2 = 0.