Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op
1 answer:
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a quadratic equation is:
y = ax² + bx + c
The graph of a quadratic equation is a parabola.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
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Answer:
The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)
Step-by-step explanation:
To find the point of discontinuity :
Put the denominator equal to 0
⇒ x - 1 = 0
⇒ x = 1
Also, if the factor (x - 1) gets cancel, then it becomes a hole rather than a asymptote , ⇒ y = 3x + 4 at x = 1
⇒ y = 7
So, Point of discontinuity : (1, 7)
And the zero is : after cancelling the factor (x - 1) put the remaining factor = 0
⇒ 3x + 4 = 0
⇒ 3x = -4
⇒ x = negative four thirds ( zero of the function)
Therefore, The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)