Which statement describes the graph of f(x) = x² - 6x + 9?
1 answer:
Answer:
A parabola with an x-intercept of (3, 0)
Step-by-step explanation:
We can immediately rule out the first and third options, because the equation of a second degree function is a parabola.
Your equation is
ƒ(x) = x² - 6x + 9 = 0
We can factor this equation as
ƒ(x) = (x - 3)²
The parent parabola, y = x², has its x-intercept at (0,0).
Your function subtracts three from x, so the intercept is shifted three units to the right.
The graph of your function is a parabola with an x-intercept of (3, 0).
The figure below shows the graph of your function shifted three units by subtracting three from x.
You might be interested in
Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).
Step-by-step explanation:
When a point (x,y) is dilated by a scale factor k from the origin, then the new points become
The given rule of dilation : (x,y) →(0.8x, 0.8y)
The first point is (-10,-20), so its image will be
So, the point (-10,-20) becomes (-8,-16).
The second point is (15,25), so its image will be
So, the point (15,25) becomes (12,20).
Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).