Explanation:
Vertex form of a quadratic function is given by y = a(x - h)² + k
where
1) 'a' determines if parabola is stretched or compressed.
If a > 1 then graph is stretched by a factor of a.
If 0 < a < 1, then graph is compressed by a factor of a.
2) If a > 0 then graph opens upwards with a happy face. (minimum)
3) If a < 0 then graph opens downwards with a sad face. (maximum)
4) (h, k) is the vertex point
5) The axis of symmetry is x = h
While solving for y = 1(x - 4)² + 3
Identify following's:
Vertex: (h, k) = (4, 3)
Axis of symmetry: x = 4
Max/Min: As here a > 0, Minimum (4, 3)
Stretch/compression: a = 1, the graph is stretched by a factor of 1.
Direction of opening: As a > 0, the graph opens upwards.
They would be identical so it would be 114
Answer:
264 ounces
Step-by-step explanation:
#Convert Xan weight into ounces:
Convert Katie's 88 pounds 11 ounce to ounces:
The difference is calculated by subtracting Xan's from Katie's:
Hence, the difference between the weights is 264 ounces
Answer:
8%
Step-by-step explanation:
percent increase = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%
Answer:
Step-by-step explanation:
Good idea to review quadratic functions and the quadratic formula.
Quadratics have three coefficients: ax² + bx + c, and the "discriminant" is defined as b²-4ac. Please review these rules:
1) if the discriminant is +, the quadratic equation has two real, unequal roots.
2) if the disc. is 0, the equation has two real, equal root.
3) If the disc. is - , the equation has two complex roots.
Here a = 1, b = -3 and c = 4. Therefore the discriminant is (-3)²-4(1)(4), or
-7. Rule 3) applies: the equation has two complex roots, but no real ones. Thus we know that the graph does not cross the x-axis.
Graphing the given quadratic, x² - 3x + 4, using a dashed "line," is helpful. As you can see in the illustration of this graph, the graph neither touches nor crosses the x-axis. Thus, y = x² - 3x + 4 is greater than 0 for all x. The answer: All real numbers.
